312131210013 has 48 divisors (see below), whose sum is σ = 529396198656. Its totient is φ = 173472606720.

The previous prime is 312131210011. The next prime is 312131210033. The reversal of 312131210013 is 310012131213.

312131210013 is a `hidden beast` number, since 312 + 131 + 210 + 0 + 13 = 666.

It is not a de Polignac number, because 312131210013 - 2¹ = 312131210011 is a prime.

It is a super-2 number, since 2×312131210013² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312131210011) 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, 6294645 + ... + 6344037.

It is an arithmetic number, because the mean of its divisors is an integer number (11029087472).

Almost surely, 2^312131210013 is an apocalyptic number.

It is an amenable number.

312131210013 is a deficient number, since it is larger than the sum of its proper divisors (217264988643).

312131210013 is a wasteful number, since it uses less digits than its factorization.

312131210013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52154 (or 52151 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 312131210013 its reverse (310012131213), we get a palindrome (622143341226).

The spelling of 312131210013 in words is "three hundred twelve billion, one hundred thirty-one million, two hundred ten thousand, thirteen".