31311313013313 has 12 divisors (see below), whose sum is σ = 45968885772628. Its totient is φ = 20532008532960.

The previous prime is 31311313013291. The next prime is 31311313013327. The reversal of 31311313013313 is 31331031311313.

31311313013313 is a `hidden beast` number, since 3 + 1 + 3 + 11 + 31 + 301 + 3 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4187392801344 + 27123920211969 = 2046312^2 + 5208063^2 .

It is not a de Polignac number, because 31311313013313 - 2⁶ = 31311313013249 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31311313013353) 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, 28516677970 + ... + 28516679067.

Almost surely, 2^{31311313013313} is an apocalyptic number.

It is an amenable number.

31311313013313 is a deficient number, since it is larger than the sum of its proper divisors (14657572759315).

31311313013313 is a wasteful number, since it uses less digits than its factorization.

31311313013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57033357104 (or 57033357101 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

Adding to 31311313013313 its reverse (31331031311313), we get a palindrome (62642344324626).

The spelling of 31311313013313 in words is "thirty-one trillion, three hundred eleven billion, three hundred thirteen million, thirteen thousand, three hundred thirteen".