13131033013113 has 16 divisors (see below), whose sum is σ = 18364913934336. Its totient is φ = 8329572492560.

The previous prime is 13131033013103. The next prime is 13131033013123. The reversal of 13131033013113 is 31131033013131.

It is an interprime number because it is at equal distance from previous prime (13131033013103) and next prime (13131033013123).

It is a cyclic number.

It is not a de Polignac number, because 13131033013113 - 2⁴ = 13131033013097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13131033013103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498166995 + ... + 498193352.

It is an arithmetic number, because the mean of its divisors is an integer number (1147807120896).

Almost surely, 2^{13131033013113} is an apocalyptic number.

It is an amenable number.

13131033013113 is a deficient number, since it is larger than the sum of its proper divisors (5233880921223).

13131033013113 is a wasteful number, since it uses less digits than its factorization.

13131033013113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996360564.

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 13131033013113 its reverse (31131033013131), we get a palindrome (44262066026244).

The spelling of 13131033013113 in words is "thirteen trillion, one hundred thirty-one billion, thirty-three million, thirteen thousand, one hundred thirteen".