312131111313321 has 20 divisors (see below), whose sum is σ = 466279181686164. Its totient is φ = 208083279456000.

The previous prime is 312131111313293. The next prime is 312131111313353. The reversal of 312131111313321 is 123313111131213.

312131111313321 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 11 + 11 + 313 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 245904392832921 + 66226718480400 = 15681339^2 + 8137980^2 .

It is not a de Polignac number, because 312131111313321 - 2⁹ = 312131111312809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (312131111313521) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34112080 + ... + 42283521.

Almost surely, 2^{312131111313321} is an apocalyptic number.

It is an amenable number.

312131111313321 is a deficient number, since it is larger than the sum of its proper divisors (154148070372843).

312131111313321 is an equidigital number, since it uses as much as digits as its factorization.

312131111313321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76446054 (or 76446045 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

Adding to 312131111313321 its reverse (123313111131213), we get a palindrome (435444222444534).

The spelling of 312131111313321 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred eleven million, three hundred thirteen thousand, three hundred twenty-one".