31131013113 has 12 divisors (see below), whose sum is σ = 45026118228. Its totient is φ = 20726732160.

The previous prime is 31131013093. The next prime is 31131013117.

31131013113 is a `hidden beast` number, since 311 + 310 + 1 + 31 + 13 = 666.

31131013113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 10352655504 + 20778357609 = 101748^2 + 144147^2 .

It is not a de Polignac number, because 31131013113 - 2¹⁶ = 31130947577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31131013117) 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, 2265820 + ... + 2279517.

It is an arithmetic number, because the mean of its divisors is an integer number (3752176519).

Almost surely, 2^31131013113 is an apocalyptic number.

It is an amenable number.

31131013113 is a deficient number, since it is larger than the sum of its proper divisors (13895105115).

31131013113 is a wasteful number, since it uses less digits than its factorization.

31131013113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546104 (or 4546101 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 311310 and 13113, that added together give a palindrome (324423).

The spelling of 31131013113 in words is "thirty-one billion, one hundred thirty-one million, thirteen thousand, one hundred thirteen".