312131302313 has 16 divisors (see below), whose sum is σ = 321811434000. Its totient is φ = 302552017920.

The previous prime is 312131302309. The next prime is 312131302361. The reversal of 312131302313 is 313203131213.

It can be written as a sum of positive squares in 8 ways, for example, as 826447504 + 311304854809 = 28748^2 + 557947^2 .

It is a cyclic number.

It is not a de Polignac number, because 312131302313 - 2² = 312131302309 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 (312131302213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10972853 + ... + 11001261.

It is an arithmetic number, because the mean of its divisors is an integer number (20113214625).

Almost surely, 2^312131302313 is an apocalyptic number.

It is an amenable number.

312131302313 is a deficient number, since it is larger than the sum of its proper divisors (9680131687).

312131302313 is a wasteful number, since it uses less digits than its factorization.

312131302313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30172.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 312131302313 its reverse (313203131213), we get a palindrome (625334433526).

The spelling of 312131302313 in words is "three hundred twelve billion, one hundred thirty-one million, three hundred two thousand, three hundred thirteen".