3131112111313 has 16 divisors (see below), whose sum is σ = 3169413418752. Its totient is φ = 3092962320000.

The previous prime is 3131112111299. The next prime is 3131112111359.

3131112111313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3131112111313 - 2⁹ = 3131112110801 is a prime.

It is a super-2 number, since 2×3131112111313² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3131112111713) 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, 78041128 + ... + 78081238.

It is an arithmetic number, because the mean of its divisors is an integer number (198088338672).

Almost surely, 2^{3131112111313} is an apocalyptic number.

It is an amenable number.

3131112111313 is a deficient number, since it is larger than the sum of its proper divisors (38301307439).

3131112111313 is a wasteful number, since it uses less digits than its factorization.

3131112111313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41976.

The product of its digits is 162, while the sum is 22.

Multiplying 3131112111313 by its sum of digits (22), we get a palindrome (68884466448886).

The spelling of 3131112111313 in words is "three trillion, one hundred thirty-one billion, one hundred twelve million, one hundred eleven thousand, three hundred thirteen".