313431121134313 has 12 divisors (see below), whose sum is σ = 392649975927300. Its totient is φ = 247989458479392.

The previous prime is 313431121134269. The next prime is 313431121134361.

313431121134313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 116018167795929 + 197412953338384 = 10771173^2 + 14050372^2 .

It is not a de Polignac number, because 313431121134313 - 2⁴¹ = 311232097878761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313431121144313) 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, 246021287538 + ... + 246021288811.

It is an arithmetic number, because the mean of its divisors is an integer number (32720831327275).

Almost surely, 2^{313431121134313} is an apocalyptic number.

It is an amenable number.

313431121134313 is a deficient number, since it is larger than the sum of its proper divisors (79218854792987).

313431121134313 is a wasteful number, since it uses less digits than its factorization.

313431121134313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492042576376 (or 492042576369 counting only the distinct ones).

The product of its digits is 23328, while the sum is 34.

The spelling of 313431121134313 in words is "three hundred thirteen trillion, four hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-four thousand, three hundred thirteen".