31120402113 has 48 divisors (see below), whose sum is σ = 48924317520. Its totient is φ = 18982453248.

The previous prime is 31120402111. The next prime is 31120402121.

31120402113 is a `hidden beast` number, since 31 + 120 + 402 + 113 = 666.

31120402113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 2105708544 + 29014693569 = 45888^2 + 170337^2 .

It is not a de Polignac number, because 31120402113 - 2¹ = 31120402111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31120402111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11711281 + ... + 11713937.

It is an arithmetic number, because the mean of its divisors is an integer number (1019256615).

Almost surely, 2^31120402113 is an apocalyptic number.

It is an amenable number.

31120402113 is a deficient number, since it is larger than the sum of its proper divisors (17803915407).

31120402113 is a wasteful number, since it uses less digits than its factorization.

31120402113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786 (or 4783 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 31120402113 in words is "thirty-one billion, one hundred twenty million, four hundred two thousand, one hundred thirteen".