UNITED
STATES
SECURITIES AND EXCHANGE COMMISSION Washington,
D.C. 20549 FORM
10-K  (Mark
One)  ☒ANNUAL
                                         REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934  For
the fiscal year ended December 31, 2023
or  ☐TRANSITION
                                         REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934  For
the transition period from _____ to _____Commission file number of the issuing entity: 333-171508-07 Central
Index Key Number of the issuing entity: 0001578422 GS
Mortgage Securities Trust 2013-GC13 (exact
name of the issuing entity as specified in its charter)  Central
Index Key Number of the depositor: 0001004158 GS
Mortgage Securities Corporation II (exact
name of the depositor as specified in its charter)  Central
Index Key Number of the sponsor: 0001541502 Goldman
Sachs Mortgage Company (exact
name of the sponsor as specified in its charter)  Central
Index Key Number of the sponsor: 0001541001 Citigroup
Global Markets Realty Corp. (exact
name of the sponsor as specified in its charter)  Central
Index Key Number of the sponsor: 0001682511 Starwood
Mortgage Funding I LLC (exact
name of the sponsor as specified in its charter)  New
York(State or other jurisdiction ofincorporation or organization of
        the
issuing entity)
    46-1483808
        46-1493598
        (I.R.S.
Employer
        Identification
Numbers)  c/o
U.S. Bank Trust Company, National Association as
Certificate Administrator 190
S. LaSalle Street Chicago,
IL (Address
of principal executive offices of the issuing entity)  60603 (Zip
Code)  Registrant’s
telephone number, including area code: (212)
902-1000  Securities
registered pursuant to Section 12(b) of the Act:  Title
    of each class
    Trading
    Symbol(s)
    Name
    of each exchange on which registeredNone  Securities
registered pursuant to Section 12(g) of the Act: None.  Indicate
by check mark if the registrant is a well-known seasoned issuer, as defined in Rule 405 of the Securities Act. ☐  Yes
☒  No  Indicate
by check mark if the registrant is not required to file reports pursuant to Section 13 or Section 15(d) of the Act.☐ Yes ☒
No  Indicate
by check mark whether the registrant (1) has filed all reports required to be filed by Section 13 or 15(d) of the Securities Exchange
Act of 1934 during the preceding 12 months (or for such shorter period that the registrant was required to file such reports),
and (2) has been subject to such filing requirements for the past 90 days. ☒ Yes ☐ No  Indicate
by check mark whether the registrant has submitted electronically every Interactive Data File required to be submitted pursuant
to Rule 405 of Regulation S-T (Section 232.405 of this chapter) during the preceding 12 months (or for such shorter period that
the registrant was required to submit such files).  Not
applicable.  Indicate
by check mark whether the registrant is a large accelerated filer, an accelerated filer, a non-accelerated filer, a smaller reporting
company, or an emerging growth company. See the definitions of “large accelerated filer,” “accelerated filer,”
“smaller reporting company,” and “emerging growth company” in Rule 12b-2 of the Exchange Act.  Large accelerated filer
    ☐
    Accelerated filer
    ☐Non-accelerated filer
    ☒
    Smaller reporting company
    ☐Emerging growth company
    ☐  If
an emerging growth company, indicate by check mark if the registrant has elected not to use the extended transition period for
complying with any new or revised financial accounting standards provided pursuant to Section 13(a) of the Exchange Act. ☐  Indicate
by check mark whether the registrant has filed a report on and attestation to its management’s assessment of the effectiveness
of its internal control over financial reporting under Section 404(b) of the Sarbanes-Oxley Act (15 U.S.C. 7262(b)) by the registered
public accounting firm that prepared or issued its audit report. ☐  If
securities are registered pursuant to Section 12(b) of the Act, indicate by check mark whether the financial statements of the
registrant included in the filing reflect the correction of an error to previously issued financial statements.
☐  Indicate
by check mark whether any of those error corrections are restatements that required a recovery analysis of incentive-based compensation
received by any of the registrant’s executive officers during the relevant recovery period pursuant to §240.10D-1(b).
☐  Indicate
by check mark whether the registrant is a shell company (as defined in Rule 12b-2 of the Act). ☐ Yes ☒ No  State
the aggregate market value of the voting and non-voting common equity held by non-affiliates computed by reference to the price
at which the common equity was last sold, or the average bid and asked price of such common equity, as of the last business day
of the registrant’s most recently completed second fiscal quarter.  Not
applicable.  Indicate
by check mark whether the registrant has filed all documents and reports required to be filed by Section 12, 13 or 15(d) of the
Securities Exchange Act of 1934 subsequent to the distribution of securities under a plan confirmed by a court. ☐ Yes ☐ No  Not
applicable.  Indicate
the number of shares outstanding of each of the registrant’s classes of common stock, as of the latest practicable date.  Not
applicable.  DOCUMENTS
INCORPORATED BY REFERENCE  List
hereunder the following documents if incorporated by reference and the Part of the Form 10-K (e.g., Part I, Part II, etc.) into
which the document is incorporated: (1) Any annual report to security holders; (2) Any proxy or information statement; and (3)
Any prospectus filed pursuant to Rule 424(b) or (c) under the Securities Act of 1933. The listed documents should be clearly described
for identification purposes (e.g., annual report to security holders for fiscal year ended December 24, 1980).  Not
applicable.   
     EXPLANATORY
NOTES  The
11 West 42nd Street Mortgage Loan and the Mall St. Matthews Mortgage Loan, which constituted approximately 11.2% and 11.0%, respectively,
of the asset pool of the issuing entity as of its cut-off date, are each an asset of the issuing entity and are each part of a
loan combination that includes the 11 West 42nd Street Mortgage Loan or the Mall St. Matthews Mortgage Loan and one other pari
passu loan, which is not an asset of the issuing entity. These loan combinations, including the 11 West 42nd Street Mortgage
Loan and the Mall St. Matthews Mortgage Loan, are being serviced and administered pursuant to the Pooling and Servicing Agreement,
which is incorporated by reference as Exhibit 4 to this Annual Report on Form 10-K.  This
Annual Report on Form 10-K includes assessments of compliance with applicable servicing criteria and accountants’ attestation
reports from CoreLogic Solutions, LLC.  This entity was engaged by the master servicer under the Pooling and Servicing Agreement
to remit tax payments received from the escrow accounts of borrowers to local taxing authorities, to report tax amounts due, to
verify tax parcel information, and to verify non-escrow tax payments. These servicing functions are included within the servicing
criteria set forth in Items 1122(d)(4)(xi) and 1122(d)(4)(xii) of Regulation AB.  Therefore, under the principles-based definition
of “servicer” set forth in Item 1101(j) of Regulation AB that looks to the functions that an entity performs, this
vendor is a “servicer” for the purposes of Item 1122 of Regulation AB.  See Compliance and Disclosure
Interpretations, Section 301.01 (Item 1101(j)).  PART
I  Item
1. Business.  Omitted.  Item
1A. Risk Factors.  Omitted.  Item
1B. Unresolved Staff Comments.  None.  Item
1C. Cybersecurity.  Omitted.  Item
2. Properties.  Omitted.  Item
3. Legal Proceedings.  Omitted.  Item
4. Mine Safety Disclosures.  Not
applicable.  PART
II  Item
5. Market for Registrant’s Common Equity, Related Stockholder Matters and Issuer Purchases of Equity Securities.  Omitted.  Item
6. [Reserved]  Item
7. Management’s Discussion and Analysis of Financial Condition and Results of Operations.  Omitted.    Item
7A. Quantitative and Qualitative Disclosures About Market Risk.  Omitted.  Item
8. Financial Statements and Supplementary Data.  Omitted.  Item
9. Changes in and Disagreements With Accountants on Accounting and Financial Disclosure.  Omitted.  Item
9A. Controls and Procedures.  Omitted.  Item
9B. Other Information.  None.  Item
9C. Disclosure Regarding Foreign Jurisdictions that Prevent Inspections.  None.  PART
III  Item
10. Directors, Executive Officers and Corporate Governance.  Omitted.  Item
11. Executive Compensation.  Omitted.  Item
12. Security Ownership of Certain Beneficial Owners and Management and Related Stockholder Matters.  Omitted.  Item
13. Certain Relationships and Related Transactions, and Director Independence.  Omitted.  Item
14. Principal Accountant Fees and Services.  Omitted.  ADDITIONAL
DISCLOSURE ITEMS FOR REGULATION AB  Item
1112(b) of Regulation AB, Significant Obligor Financial Information.  The
11 West 42nd Street Mortgage Loan, which represented 10% or more of the pool assets held by the issuing entity as of its cut-off
date, is no longer a pool asset.  The
Mall St. Matthews Mortgage Loan (Control Number 2 on Annex A of the prospectus supplement of the registrant relating to the issuing
entity filed on July 31, 2013 pursuant to Rule 424(b)(5)) constitutes a significant obligor within the meaning of Item 1101(k)(2)
of Regulation AB as disclosed in the prospectus supplement. In accordance with Item 1112(b) of Regulation AB, the most recent
unaudited net operating income of the significant obligor was $14,678,635.02 for the twelve- month period ended December 31, 2023.    Item
1114(b)(2) of Regulation AB, Significant Enhancement Provider Financial Information.  No
entity or group of affiliated entities provides any external credit enhancement or other support for the certificates within this
transaction as described under Item 1114(a) of Regulation AB.  Item
1115(b) of Regulation AB, Certain Derivatives Instruments (Financial Information).  No
entity or group of affiliated entities provides any derivative instruments or other support for the certificates within this transaction
as described under Item 1115 of Regulation AB.  Item
1117 of Regulation AB, Legal Proceedings.  The
registrant knows of no material pending legal proceeding involving the trust or any party related to the trust, other than routine
litigation incidental to the duties of those respective parties, and the following, with respect to U.S. Bank Trust Company, National
Association, as trustee and as certificate administrator, and U.S. Bank National Association, as custodian.  U.S.
Bank National Association (“U.S. Bank”) and other large financial institutions have been sued in their capacity as
trustee or successor trustee for certain residential mortgage backed securities (“RMBS”) trusts. The complaints, primarily
filed by investors or investor groups against U.S. Bank and similar institutions, allege the trustees caused losses to investors
as a result of alleged failures by the sponsors, mortgage loan sellers and servicers to comply with the governing agreements for
these RMBS trusts. Plaintiffs generally assert causes of action based upon the trustees’ purported failures to enforce repurchase
obligations of mortgage loan sellers for alleged breaches of representations and warranties, notify securityholders of purported
events of default allegedly caused by breaches of servicing standards by mortgage loan servicers and abide by a heightened standard
of care following alleged events of default.  U.S.
Bank denies liability and believes that it has performed its obligations under the RMBS trusts in good faith, that its actions
were not the cause of losses to investors, that it has meritorious defenses, and it has contested and intends to continue contesting
the plaintiffs’ claims vigorously. However, U.S. Bank cannot assure you as to the outcome of any of the litigation, or the
possible impact of these litigations on the trustee or the RMBS trusts.  On
March 9, 2018, a law firm purporting to represent fifteen Delaware statutory trusts (the “DSTs”) that issued securities
backed by student loans (the “Student Loans”) filed a lawsuit in the Delaware Court of Chancery against U.S. Bank
National Association (“U.S. Bank”) in its capacities as indenture trustee and successor special servicer, and three
other institutions in their respective transaction capacities, with respect to the DSTs and the Student Loans. This lawsuit is
captioned The National Collegiate Student Loan Master Trust I, et al. v. U.S. Bank National Association, et al., C.A. No. 2018-0167-JRS
(Del. Ch.) (the “NCMSLT Action”). The complaint, as amended on June 15, 2018, alleged that the DSTs have been harmed
as a result of purported misconduct or omissions by the defendants concerning administration of the trusts and special servicing
of the Student Loans. Since the filing of the NCMSLT Action, certain Student Loan borrowers have made assertions against U.S.
Bank concerning special servicing that appear to be based on certain allegations made on behalf of the DSTs in the NCMSLT Action.  U.S.
Bank has filed a motion seeking dismissal of the operative complaint in its entirety with prejudice pursuant to Chancery Court
Rules 12(b)(1) and 12(b)(6) or, in the alternative, a stay of the case while other prior filed disputes involving the DSTs and
the Student Loans are litigated. On November 7, 2018, the Court ruled that the case should be stayed in its entirety pending resolution
of the first-filed cases. On January 21, 2020, the Court entered an order consolidating for pretrial purposes the NCMSLT Action
and three other lawsuits pending in the Delaware Court of Chancery concerning the DSTs and the Student Loans, which remains pending.  U.S.
Bank denies liability in the NCMSLT Action and believes it has performed its obligations as indenture trustee and special servicer
in good faith and in compliance in all material respects with the terms of the agreements governing the DSTs and that it has meritorious
defenses. It has contested and intends to continue contesting the plaintiffs’ claims vigorously.  Item
1119 of Regulation AB, Affiliations and Certain Relationships and Related Transactions.  The
information regarding this Item has been previously provided in a prospectus supplement of the Registrant relating to the issuing
entity filed on July 31, 2013 pursuant to Rule 424(b)(5).  Item
1122 of Regulation AB, Compliance with Applicable Servicing Criteria.  The
reports on assessments of compliance with the servicing criteria for asset-backed securities and related attestation reports on
such assessments of compliance with respect to the mortgage loans are attached hereto under Item 15 to this Annual Report on Form
10-K. Attached as Exhibit O to the Pooling and Servicing Agreement incorporated by reference as Exhibit 4 to this Annual Report
on Form 10-K is a chart identifying the entities participating in a servicing function for the transaction responsible for each
applicable servicing criteria set forth in Item 1122(d).  Item
1123 of Regulation AB, Servicer Compliance Statement.  The
servicer compliance statements are attached as Exhibits to this Annual Report on Form 10-K.  PART
IV  Item
15. Exhibit and Financial Statement Schedules  (a)
The following is a list of documents filed as part of this Annual Report on Form 10-K:  (1)
Not applicable  (2)
Not applicable  (3)
See below  4Pooling
                                         and Servicing Agreement, dated as of July 1, 2013, by and among GS Mortgage Securities
                                         Corporation II, as Depositor, Wells Fargo Bank, National Association, as Master Servicer,
                                         LNR Partners, LLC, as Special Servicer, Trimont Real Estate Advisors, Inc., as Operating
                                         Advisor, and U.S. Bank National Association, as Certificate Administrator and Trustee
                                         (filed as Exhibit 4 to the registrant’s Current Report on Form 8-K filed on July
                                         31, 2013 under Commission File No. 333-171508-07 and incorporated by reference herein).  10.1Mortgage
                                         Loan Purchase Agreement, dated as of July 1, 2013, between GS Mortgage Securities Corporation
                                         II and Goldman Sachs Mortgage Company (filed as Exhibit 10.1 to the registrant’s
                                         Current Report on Form 8-K filed on July 31, 2013 under Commission File No. 333-171508-07
                                         and incorporated by reference herein)  10.2Mortgage
                                         Loan Purchase Agreement, dated as of July 1, 2013, between GS Mortgage Securities Corporation
                                         II and Citigroup Global Markets Realty Corp. (filed as Exhibit 10.2 to the registrant’s
                                         Current Report on Form 8-K filed on July 31, 2013 under Commission File No. 333-171508-07
                                         and incorporated by reference herein)  10.3Mortgage
                                         Loan Purchase Agreement, dated as of July 1, 2013, between GS Mortgage Securities Corporation
                                         II and Starwood Mortgage Funding I LLC (filed as Exhibit 10.3 to the registrant’s
                                         Current Report on Form 8-K filed on July 31, 2013 under Commission File No. 333-171508-07
                                         and incorporated by reference herein)  31Rule
                                         13a-14(d)/15d-14(d) Certifications.  33Reports
                                         on assessment of compliance with servicing criteria for asset-backed securities.  33.1Wells
                                         Fargo Bank, National Association, as Master Servicer  33.2LNR
                                         Partners, LLC, as Special Servicer  33.3U.S.
                                         Bank Trust Company, National Association, as Trustee and Certificate Administrator  33.4U.S.
                                         Bank National Association, as Custodian (see Exhibit 33.3)  33.5Trimont
                                         LLC (f/k/a TriMont Real Estate Advisors, Inc.), as Operating Advisor prior to March 31,
                                         2023  33.6BellOak,
                                         LLC, as Operating Advisor on and after March 31, 2023  33.7CoreLogic
                                         Solutions, LLC, as Servicing Function Participant  33.8Wells
                                         Fargo Bank, National Association, as Primary Servicer of the 11 West 42nd Street Mortgage
                                         Loan (see Exhibit 33.1)  33.9LNR
                                         Partners, LLC, as Special Servicer of the 11 West 42nd Street Mortgage Loan (see Exhibit
                                         33.2)  33.10U.S.
                                         Bank Trust Company, National Association, as Trustee of the 11 West 42nd Street Mortgage
                                         Loan (see Exhibit 33.3)  33.11U.S.
                                         Bank National Association, as Custodian of the 11 West 42nd Street Mortgage Loan (see
                                         Exhibit 33.3)  33.12Trimont
                                         LLC (f/k/a TriMont Real Estate Advisors, Inc.), as Operating Advisor of the 11 West 42nd
                                         Street Mortgage Loan prior to March 31, 2023 (see Exhibit 33.5)  33.13BellOak,
                                         LLC, as Operating Advisor of the 11 West 42nd Street Mortgage Loan on and after March
                                         31, 2023 (see Exhibit 33.6)  33.14CoreLogic
                                         Solutions, LLC, as Servicing Function Participant of the 11 West 42nd Street Mortgage
                                         Loan (see Exhibit 33.7)  33.15Wells
                                         Fargo Bank, National Association, as Primary Servicer of the Mall St. Matthews Mortgage
                                         Loan (see Exhibit 33.1)  33.16LNR
                                         Partners, LLC, as Special Servicer of the Mall St. Matthews Mortgage Loan (see Exhibit
                                         33.2)  33.17U.S.
                                         Bank Trust Company, National Association, as Trustee of the Mall St. Matthews Mortgage
                                         Loan (see Exhibit 33.3)  33.18U.S.
                                         Bank National Association, as Custodian of the Mall St. Matthews Mortgage Loan (see Exhibit
                                         33.3)    33.19Trimont
                                         LLC (f/k/a TriMont Real Estate Advisors, Inc.), as Operating Advisor of the Mall St.
                                         Matthews Mortgage Loan prior to March 31, 2023 (see Exhibit 33.5)  33.20BellOak,
                                         LLC, as Operating Advisor of the Mall St. Matthews Mortgage Loan (see Exhibit 33.6)  33.21CoreLogic
                                         Solutions, LLC, as Servicing Function Participant of the Mall St. Matthews Mortgage Loan
                                         (see Exhibit 33.7)  34Attestation
                                         reports on assessment of compliance with servicing criteria for asset-backed securities.  34.1Wells
                                         Fargo Bank, National Association, as Master Servicer  34.2LNR
                                         Partners, LLC, as Special Servicer  34.3U.S.
                                         Bank Trust Company, National Association, as Trustee and Certificate Administrator  34.4U.S.
                                         Bank National Association, as Custodian (see Exhibit 34.3)  34.5Trimont
                                         LLC (f/k/a TriMont Real Estate Advisors, Inc.), as Operating Advisor prior to March 31,
                                         2023  34.6BellOak,
                                         LLC, as Operating Advisor on and after March 31, 2023  34.7CoreLogic
                                         Solutions, LLC, as Servicing Function Participant  34.8Wells
                                         Fargo Bank, National Association, as Primary Servicer of the 11 West 42nd Street Mortgage
                                         Loan (see Exhibit 34.1)  34.9LNR
                                         Partners, LLC, as Special Servicer of the 11 West 42nd Street Mortgage Loan (see Exhibit
                                         34.2)  34.10U.S.
                                         Bank Trust Company, National Association, as Trustee of the 11 West 42nd Street Mortgage
                                         Loan (see Exhibit 34.3)  34.11U.S.
                                         Bank National Association, as Custodian of the 11 West 42nd Street Mortgage Loan (see
                                         Exhibit 34.3)  34.12Trimont
                                         LLC (f/k/a TriMont Real Estate Advisors, Inc.), as Operating Advisor of the 11 West 42nd
                                         Street Mortgage Loan prior to March 31, 2023 (see Exhibit 34.5)  34.13BellOak,
                                         LLC, as Operating Advisor of the 11 West 42nd Street Mortgage Loan on and after March
                                         31, 2023 (see Exhibit 34.6)  34.14CoreLogic
                                         Solutions, LLC, as Servicing Function Participant of the 11 West 42nd Street Mortgage
                                         Loan (see Exhibit 34.7)  34.15Wells
                                         Fargo Bank, National Association, as Primary Servicer of the Mall St. Matthews Mortgage
                                         Loan (see Exhibit 34.1)  34.16LNR
                                         Partners, LLC, as Special Servicer of the Mall St. Matthews Mortgage Loan (see Exhibit
                                         34.2)  34.17U.S.
                                         Bank Trust Company, National Association, as Trustee of the Mall St. Matthews Mortgage
                                         Loan (see Exhibit 34.3)  34.18U.S.
                                         Bank National Association, as Custodian of the Mall St. Matthews Mortgage Loan (see Exhibit
                                         34.3)  34.19Trimont
                                         LLC (f/k/a TriMont Real Estate Advisors, Inc.), as Operating Advisor of the Mall St.
                                         Matthews Mortgage Loan prior to March 31, 2023 (see Exhibit 34.5)  34.20BellOak,
                                         LLC, as Operating Advisor of the Mall St. Matthews Mortgage Loan (see Exhibit 34.6)  34.21CoreLogic
                                         Solutions, LLC, as Servicing Function Participant of the Mall St. Matthews Mortgage Loan
                                         (see Exhibit 34.7)  35Servicer
                                         compliance statements.  35.1Wells
                                         Fargo Bank, National Association, as Master Servicer  35.2LNR
                                         Partners, LLC, as Special Servicer  35.3U.S.
                                         Bank Trust Company, National Association, as Certificate Administrator  35.4Wells
                                         Fargo Bank, National Association, as Primary Servicer of the 11 West 42nd Street Mortgage
                                         Loan (see Exhibit 35.1)  35.5LNR
                                         Partners, LLC, as Special Servicer of the 11 West 42nd Street Mortgage Loan (see Exhibit
                                         35.2)  35.6Wells
                                         Fargo Bank, National Association, as Primary Servicer of the Mall St. Matthews Mortgage
                                         Loan (see Exhibit 35.1)  35.7LNR
                                         Partners, LLC, as Special Servicer of the Mall St. Matthews Mortgage Loan (see Exhibit
                                         35.2)  (b)The
                                         exhibits required to be filed by the Registrant pursuant to Item 601 of Regulation S-K
                                         are listed above.  (c)Not
                                         Applicable.    SIGNATURES  Pursuant
to the requirements of Section 13 or 15(d) of the Securities Exchange Act of 1934, the registrant has duly caused this report
to be signed on its behalf by the undersigned, thereunto duly authorized.   GS Mortgage Securities Corporation
    II(Depositor)/s/ Scott
    EppersonScott Epperson, Chief Executive Officer(senior officer in charge of securitization
    of the depositor)Date: March 27, 2024