Buggy python submission (verdict: Time Limit Exceeded):
def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10**7)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations, accumulate, groupby
    #from itertools import product
    from bisect import bisect_left,bisect_right
    import heapq
    from math import floor, ceil
    #from operator import itemgetter

    #inf = 10**17
    mod = 10**9 + 7

    s = input().rstrip()
    n = len(s)
    dp = [[0]*13 for _ in range(n)]

    if s[-1]=='?':
        for i in range(10):
            dp[0][i] = 1
    else:
        a = int(s[-1])
        dp[0][a] = 1

    a = 1
    for i in range(1, n):
        a = 10 * a % 13
        if s[-(i+1)] == '?':
            for j in range(10):
                for k in range(13):
                    dp[i][(a*j+k)%13] += dp[i-1][k] % mod
        else:
            j = int(s[-(i+1)])
            for k in range(13):
                dp[i][(a*j+k)%13] += dp[i-1][k] % mod
    print(dp[-1][5]%mod)


if __name__ == '__main__':
    main()

Fixed submission:
def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10**7)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations, accumulate, groupby
    #from itertools import product
    from bisect import bisect_left,bisect_right
    import heapq
    from math import floor, ceil
    #from operator import itemgetter

    #inf = 10**17
    mod = 10**9 + 7

    s = input().rstrip()
    n = len(s)
    dp = [[0]*13 for _ in range(n)]

    if s[-1]=='?':
        for i in range(10):
            dp[0][i] = 1
    else:
        a = int(s[-1])
        dp[0][a] = 1

    a = 1
    for i in range(1, n):
        a = 10 * a % 13
        if s[-(i+1)] == '?':
            for j in range(10):
                for k in range(13):
                    dp[i][(a*j+k)%13] += dp[i-1][k] % mod
        else:
            j = int(s[-(i+1)])
            for k in range(13):
                dp[i][(a*j+k)%13] += dp[i-1][k] % mod
    print(dp[-1][5]%mod)


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10**7)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations, accumulate, groupby
    #from itertools import product
    from bisect import bisect_left,bisect_right
    import heapq
    from math import floor, ceil
    #from operator import itemgetter

    #inf = 10**17
    mod = 10**9 + 7

    s = input().rstrip()
    n = len(s)
    dp = [[0]*13 for _ in range(n)]

    if s[-1]=='?':
        for i in range(10):
            dp[0][i] = 1
    else:
        a = int(s[-1])
        dp[0][a] = 1

    for i in range(1, n):
        if s[-(i+1)] == '?':
            for j in range(10):
                a = (10**i) * j % 13
                for k in range(13):
                    dp[i][(a+k)%13] += dp[i-1][k]
                    dp[i][(a+k)%13] %= mod
        else:
            a = int(s[-(i+1)])
            a = (10**i) * a % 13
            for k in range(13):
                dp[i][(a+k)%13] += dp[i-1][k]
                dp[i][(a+k)%13] %= mod
                
    print(dp[-1][5])


if __name__ == '__main__':
    main()

Fixed submission:
def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10**7)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations, accumulate, groupby
    #from itertools import product
    from bisect import bisect_left,bisect_right
    import heapq
    from math import floor, ceil
    #from operator import itemgetter

    #inf = 10**17
    mod = 10**9 + 7

    s = input().rstrip()
    n = len(s)
    dp = [[0]*13 for _ in range(n)]

    if s[-1]=='?':
        for i in range(10):
            dp[0][i] = 1
    else:
        a = int(s[-1])
        dp[0][a] = 1

    a = 1
    for i in range(1, n):
        a = 10 * a % 13
        if s[-(i+1)] == '?':
            for j in range(10):
                for k in range(13):
                    dp[i][(a*j+k)%13] += dp[i-1][k] % mod
        else:
            j = int(s[-(i+1)])
            for k in range(13):
                dp[i][(a*j+k)%13] += dp[i-1][k] % mod
    print(dp[-1][5]%mod)


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10**7)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations, accumulate, groupby
    #from itertools import product
    from bisect import bisect_left,bisect_right
    import heapq
    from math import floor, ceil
    #from operator import itemgetter

    #inf = 10**17
    mod = 10**9 + 7

    s = input().rstrip()
    n = len(s)
    dp = [[0]*13 for _ in range(n)]

    if s[-1]=='?':
        for i in range(10):
            dp[0][i] = 1
    else:
        a = int(s[-1])
        dp[0][a] = 1

    for i in range(1, n):
        if s[-(i+1)] == '?':
            for j in range(10):
                a = (10**i) * j % 13
                for k in range(13):
                    dp[i][(a+k)%13] += dp[i-1][k]
                    dp[i][(a+k)%13] %= mod
        else:
            a = int(s[-(i+1)])
            a = (10**i) * a % 13
            for k in range(13):
                dp[i][(a+k)%13] += dp[i-1][k]
                dp[i][(a+k)%13] %= mod
                
    print(dp[-1][5])


if __name__ == '__main__':
    main()

Fixed submission:
def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10**7)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations, accumulate, groupby
    #from itertools import product
    from bisect import bisect_left,bisect_right
    import heapq
    from math import floor, ceil
    #from operator import itemgetter

    #inf = 10**17
    mod = 10**9 + 7

    s = input().rstrip()
    n = len(s)
    dp = [[0]*13 for _ in range(n)]

    if s[-1]=='?':
        for i in range(10):
            dp[0][i] = 1
    else:
        a = int(s[-1])
        dp[0][a] = 1

    a = 1
    for i in range(1, n):
        a = 10 * a % 13
        if s[-(i+1)] == '?':
            for j in range(10):
                for k in range(13):
                    dp[i][(a*j+k)%13] += dp[i-1][k] % mod
        else:
            j = int(s[-(i+1)])
            for k in range(13):
                dp[i][(a*j+k)%13] += dp[i-1][k] % mod
    print(dp[-1][5]%mod)


if __name__ == '__main__':
    main()