312863323368213 has 32 divisors (see below), whose sum is σ = 465403080355200. Its totient is φ = 207721113562368.

The previous prime is 312863323368181. The next prime is 312863323368247.

312863323368213 is a `hidden beast` number, since 3 + 1 + 2 + 8 + 6 + 332 + 33 + 68 + 213 = 666.

312863323368213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312863323368213 - 2⁵ = 312863323368181 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312863323368213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312863323366213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11435778 + ... + 27504611.

It is an arithmetic number, because the mean of its divisors is an integer number (14543846261100).

Almost surely, 2^{312863323368213} is an apocalyptic number.

It is an amenable number.

312863323368213 is a deficient number, since it is larger than the sum of its proper divisors (152539756986987).

312863323368213 is a wasteful number, since it uses less digits than its factorization.

312863323368213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38941618 (or 38941612 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 312863323368213 in words is "three hundred twelve trillion, eight hundred sixty-three billion, three hundred twenty-three million, three hundred sixty-eight thousand, two hundred thirteen".