<PAGE>   1
                                                                      EXHIBIT 13


SHAREHOLDER INFORMATION

CORPORATE HEADQUARTERS
Cox Communications, Inc.
1400 Lake Hearn Dr., NE
Atlanta, GA 30319
404-843-5000
www.cox.com

STOCK DATA
Cox's Class A Common Stock is traded on the New York Stock Exchange. Ticker
symbol: COX. Daily newspaper stock table listing: CoxComm A.

As of February 1, 2001, there were 6,290 shareholders of record of Cox's Class A
Common Stock, two shareholders of record of Class C Common Stock and three
shareholders of record of Preferred Stock. There is no established trading
market for Cox's Class C Common Stock or Preferred Stock. There have been no
stock dividends paid on any of Cox's equity securities. Cox does not intend to
pay cash dividends in the foreseeable future. See "Management's Discussion and
Analysis - Liquidity and Capital Resources - Other" in the company's Annual
Report on Form 10-K.

QUARTERLY MARKET INFORMATION
(Prices prior to second quarter 1999 have been adjusted to reflect a two-for-one
stock split effective in May 1999.)

<TABLE>
<CAPTION>

                                   Class A Common Stock
                                   High                      Low
<S>                                <C>                       <C>
2000
First Quarter                      $58.38                    $41.25
Second Quarter                      51.50                     37.31
Third Quarter                       47.88                     31.69
Fourth Quarter                      48.00                     36.00

1999
First Quarter                      $41.28                    $32.00
Second Quarter                      44.44                     32.78
Third Quarter                       42.25                     34.25
Fourth Quarter                      52.00                     38.69
</TABLE>

TRANSFER AGENT AND REGISTRAR
First Chicago Trust Company of New York
Division of Equiserve
P.O. Box 2500
Jersey City, NJ 07303-2500
800-519-3111
www.equiserve.com
e-mail: fctc@em.fcnbd.com

ANNUAL MEETING OF SHAREHOLDERS
May 17, 2001, 9 a.m.
Cox Corporation Headquarters
1400 Lake Hearn Dr., NE
Atlanta, GA 30319

FORM 10-K
Cox Communications' Annual Report on Form 10-K as filed with the Securities and
Exchange Commission is available free upon written request to:



<PAGE>   2

         Investor Relations Department
         Cox Communications, Inc.
         1400 Lake Hearn Dr., NE
         Atlanta, GA 30319
         404-843-5000, Ext 6454

COMPANY INFORMATION
Cox Investor Hotline: 888-COX-NYSE (toll-free)
                      (888-269-6973)

All communications regarding stock transfers, lost certificates, or account
changes should be directed to the transfer agent, First Chicago Trust Company of
New York, a division of Equiserve, 800-519-3111. Shareholders of record may
access their accounts via the Internet to obtain share balance, current market
price of shares, historical stock prices and the total value of their
investment. For information on how to access this secure site, call toll-free:
877-843-9327.

For other information, contact one of the following:

Analysts/Investors:
Frank Loomans, Manager of Finance, 404-843-5377,
fax: 404-843-5939, frank.loomans@cox.com

News Media:
Amy Cohn, Director of Corporate Communication,
404-843-5769, fax: 404-843-5777, amy.cohn@cox.com

INDEPENDENT AUDITORS
Deloitte & Touche LLP
191 Peachtree St., Suite 1500
Atlanta, GA 30303-1924
404-220-1500



COX Communications
(C)2001 Cox Communications, Inc. All rights reserved. Cox, Cox Communications,
the Cox Communications logo, Cox Digital Telephone, Cox Digital Cable, Cox
Express, Cox Business Services and Now You're Living are registered service
marks or service marks of Cox Communications, Inc. @Home Network is a service
mark of AtHome.Net. The @ ball is a registered trademark of At Home Corporation.
Road Runner is a registered service mark of Time Warner Entertainment Company,
L.P.