31311011313 has 96 divisors (see below), whose sum is σ = 49339929600. Its totient is φ = 19092672000.

The previous prime is 31311011311. The next prime is 31311011351.

31311011313 is a `hidden beast` number, since 31 + 311 + 0 + 11 + 313 = 666.

31311011313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31311011313 - 2¹ = 31311011311 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31311011311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61514503 + ... + 61515011.

It is an arithmetic number, because the mean of its divisors is an integer number (513957600).

Almost surely, 2^31311011313 is an apocalyptic number.

It is an amenable number.

31311011313 is a deficient number, since it is larger than the sum of its proper divisors (18028918287).

31311011313 is a wasteful number, since it uses less digits than its factorization.

31311011313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 740 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, 313110 and 11313, that added together give a palindrome (324423).

The spelling of 31311011313 in words is "thirty-one billion, three hundred eleven million, eleven thousand, three hundred thirteen".