31312355321313 has 48 divisors (see below), whose sum is σ = 51175938520512. Its totient is φ = 18281473200000.

The previous prime is 31312355321279. The next prime is 31312355321333.

31312355321313 is a `hidden beast` number, since 3 + 1 + 3 + 12 + 3 + 5 + 5 + 321 + 313 = 666.

31312355321313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31312355321313 - 2¹⁷ = 31312355190241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31312355321333) 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, 41948263 + ... + 42688188.

It is an arithmetic number, because the mean of its divisors is an integer number (1066165385844).

Almost surely, 2^{31312355321313} is an apocalyptic number.

31312355321313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31312355321313 is a deficient number, since it is larger than the sum of its proper divisors (19863583199199).

31312355321313 is a wasteful number, since it uses less digits than its factorization.

31312355321313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84636606 (or 84636603 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

It can be divided in two parts, 3131235 and 5321313, that added together give a palindrome (8452548).

The spelling of 31312355321313 in words is "thirty-one trillion, three hundred twelve billion, three hundred fifty-five million, three hundred twenty-one thousand, three hundred thirteen".