Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3
import sys
# from math import factorial


MOD = 1000000007  # type: int
# def cmb(n, r):
#     return (factorial(n) // (factorial(r) * factorial(n - r))%MOD)

def solve(S: str):
    S = S[::-1]
    dp = [[0] * 13 for _ in range(len(S))]
    # dp[LENGTH][MOD]

    s = S[0]
    if s == "?":
        for i in range(10):
            dp[0][i] = 1
    else:
        dp[0][int(s)] = 1
    for l in range(1, len(S)):
        s = S[l]
        pow_l = pow(10, l, 13)
        if s == "?":
            for m in range(13):
                for i in range(10):
                    dp[l][(m + pow_l * i) % 13] += dp[l-1][m]% MOD
        else:
            i = int(s)
            for m in range(13):
                dp[l][(m + pow_l * i) % 13] += dp[l-1][m] % MOD

    # print(dp)
    print(dp[-1][5]% MOD)

    return


# Generated by 1.1.6 https://github.com/kyuridenamida/atcoder-tools  (tips: You use the default template now. You can remove this line by using your custom template)
def main():
    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    S = next(tokens)  # type: str
    solve(S)

if __name__ == '__main__':
    main()


Fixed submission:
#!/usr/bin/env python3
import sys
# from math import factorial


MOD = 1000000007  # type: int
# def cmb(n, r):
#     return (factorial(n) // (factorial(r) * factorial(n - r))%MOD)

def solve(S: str):
    S = S[::-1]
    dp = [[0] * 13 for _ in range(len(S))]
    # dp[LENGTH][MOD]

    s = S[0]
    if s == "?":
        for i in range(10):
            dp[0][i] = 1
    else:
        dp[0][int(s)] = 1
    for l in range(1, len(S)):
        s = S[l]
        pow_l = pow(10, l, 13)
        if s == "?":
            for m in range(13):
                for i in range(10):
                    dp[l][(m + pow_l * i) % 13] += dp[l-1][m]% MOD
        else:
            i = int(s)
            for m in range(13):
                dp[l][(m + pow_l * i) % 13] += dp[l-1][m] % MOD

    # print(dp)
    print(dp[-1][5]% MOD)

    return


# Generated by 1.1.6 https://github.com/kyuridenamida/atcoder-tools  (tips: You use the default template now. You can remove this line by using your custom template)
def main():
    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    S = next(tokens)  # type: str
    solve(S)

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3
import sys
from math import factorial


MOD = 1000000007  # type: int
def cmb(n, r):
    return (factorial(n) // (factorial(r) * factorial(n - r))%MOD)

def solve(S: str):
    S = S[::-1]
    dp = [[0] * 13 for _ in range(len(S))]
    s = S[0]
    if s == "?":
        for i in range(10):
            dp[0][i] = 1
    else:
        dp[0][int(s)] = 1
    # dp[LENGTH][MOD]
    for l in range(1, len(S)):
        s = S[l]
        if s == "?":
            for m in range(13):
                for i in range(10):
                    dp[l][(m + pow(10, l, 13) * i) % 13] += dp[l-1][m]% MOD
        else:
            i = int(s)
            for m in range(13):
                dp[l][(m + pow(10, l, 13) * i) % 13] += dp[l-1][m] % MOD

    # print(dp)
    print(dp[-1][5]% MOD)

    return


# Generated by 1.1.6 https://github.com/kyuridenamida/atcoder-tools  (tips: You use the default template now. You can remove this line by using your custom template)
def main():
    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    S = next(tokens)  # type: str
    solve(S)

if __name__ == '__main__':
    main()


Fixed submission:
#!/usr/bin/env python3
import sys
# from math import factorial


MOD = 1000000007  # type: int
# def cmb(n, r):
#     return (factorial(n) // (factorial(r) * factorial(n - r))%MOD)

def solve(S: str):
    S = S[::-1]
    dp = [[0] * 13 for _ in range(len(S))]
    # dp[LENGTH][MOD]

    s = S[0]
    if s == "?":
        for i in range(10):
            dp[0][i] = 1
    else:
        dp[0][int(s)] = 1
    for l in range(1, len(S)):
        s = S[l]
        pow_l = pow(10, l, 13)
        if s == "?":
            for m in range(13):
                for i in range(10):
                    dp[l][(m + pow_l * i) % 13] += dp[l-1][m]% MOD
        else:
            i = int(s)
            for m in range(13):
                dp[l][(m + pow_l * i) % 13] += dp[l-1][m] % MOD

    # print(dp)
    print(dp[-1][5]% MOD)

    return


# Generated by 1.1.6 https://github.com/kyuridenamida/atcoder-tools  (tips: You use the default template now. You can remove this line by using your custom template)
def main():
    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    S = next(tokens)  # type: str
    solve(S)

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3
import sys
from math import factorial


MOD = 1000000007  # type: int
def cmb(n, r):
    return (factorial(n) // (factorial(r) * factorial(n - r))%MOD)

def solve(S: str):
    S = S[::-1]
    dp = [[0] * 13 for _ in range(len(S))]
    s = S[0]
    if s == "?":
        for i in range(10):
            dp[0][i] = 1
    else:
        dp[0][int(s)] = 1
    # dp[LENGTH][MOD]
    for l in range(1, len(S)):
        s = S[l]
        if s == "?":
            for m in range(13):
                for i in range(10):
                    dp[l][(m + pow(10, l, 13) * i) % 13] += dp[l-1][m]% MOD
        else:
            i = int(s)
            for m in range(13):
                dp[l][(m + pow(10, l, 13) * i) % 13] += dp[l-1][m] % MOD

    # print(dp)
    print(dp[-1][5]% MOD)

    return


# Generated by 1.1.6 https://github.com/kyuridenamida/atcoder-tools  (tips: You use the default template now. You can remove this line by using your custom template)
def main():
    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    S = next(tokens)  # type: str
    solve(S)

if __name__ == '__main__':
    main()


Fixed submission:
#!/usr/bin/env python3
import sys
# from math import factorial


MOD = 1000000007  # type: int
# def cmb(n, r):
#     return (factorial(n) // (factorial(r) * factorial(n - r))%MOD)

def solve(S: str):
    S = S[::-1]
    dp = [[0] * 13 for _ in range(len(S))]
    # dp[LENGTH][MOD]

    s = S[0]
    if s == "?":
        for i in range(10):
            dp[0][i] = 1
    else:
        dp[0][int(s)] = 1
    for l in range(1, len(S)):
        s = S[l]
        pow_l = pow(10, l, 13)
        if s == "?":
            for m in range(13):
                for i in range(10):
                    dp[l][(m + pow_l * i) % 13] += dp[l-1][m]% MOD
        else:
            i = int(s)
            for m in range(13):
                dp[l][(m + pow_l * i) % 13] += dp[l-1][m] % MOD

    # print(dp)
    print(dp[-1][5]% MOD)

    return


# Generated by 1.1.6 https://github.com/kyuridenamida/atcoder-tools  (tips: You use the default template now. You can remove this line by using your custom template)
def main():
    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    S = next(tokens)  # type: str
    solve(S)

if __name__ == '__main__':
    main()