31101610113 has 18 divisors (see below), whose sum is σ = 52259168754. Its totient is φ = 17772348384.

The previous prime is 31101610103. The next prime is 31101610117.

31101610113 is a `hidden beast` number, since 31 + 10 + 1 + 610 + 1 + 13 = 666.

31101610113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 21782217744 + 9319392369 = 147588^2 + 96537^2 .

It is not a de Polignac number, because 31101610113 - 2⁵ = 31101610081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31101610117) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35262156 + ... + 35263037.

It is an arithmetic number, because the mean of its divisors is an integer number (2903287153).

Almost surely, 2^31101610113 is an apocalyptic number.

It is an amenable number.

31101610113 is a deficient number, since it is larger than the sum of its proper divisors (21157558641).

31101610113 is a wasteful number, since it uses less digits than its factorization.

31101610113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70525213 (or 70525203 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The spelling of 31101610113 in words is "thirty-one billion, one hundred one million, six hundred ten thousand, one hundred thirteen".