1313111111013 has 12 divisors (see below), whose sum is σ = 2042617283980. Its totient is φ = 808068375936.

The previous prime is 1313111110991. The next prime is 1313111111063. The reversal of 1313111111013 is 3101111113131.

It can be written as a sum of positive squares in 2 ways, for example, as 98987002884 + 1214124108129 = 314622^2 + 1101873^2 .

It is not a de Polignac number, because 1313111111013 - 2⁵ = 1313111110981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313111111063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5611585828 + ... + 5611586061.

Almost surely, 2^{1313111111013} is an apocalyptic number.

1313111111013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1313111111013 is a deficient number, since it is larger than the sum of its proper divisors (729506172967).

1313111111013 is a wasteful number, since it uses less digits than its factorization.

1313111111013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11223171908 (or 11223171905 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

Adding to 1313111111013 its reverse (3101111113131), we get a palindrome (4414222224144).

The spelling of 1313111111013 in words is "one trillion, three hundred thirteen billion, one hundred eleven million, one hundred eleven thousand, thirteen".