312131111213421 has 64 divisors (see below), whose sum is σ = 487253483520000. Its totient is φ = 196933292464896.

The previous prime is 312131111213401. The next prime is 312131111213461. The reversal of 312131111213421 is 124312111131213.

312131111213421 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 11 + 11 + 213 + 421 = 666.

It is not a de Polignac number, because 312131111213421 - 2¹⁵ = 312131111180653 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312131111213401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2794389045 + ... + 2794500741.

It is an arithmetic number, because the mean of its divisors is an integer number (7613335680000).

Almost surely, 2^{312131111213421} is an apocalyptic number.

It is an amenable number.

312131111213421 is a deficient number, since it is larger than the sum of its proper divisors (175122372306579).

312131111213421 is a wasteful number, since it uses less digits than its factorization.

312131111213421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117263 (or 117257 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

Adding to 312131111213421 its reverse (124312111131213), we get a palindrome (436443222344634).

The spelling of 312131111213421 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred eleven million, two hundred thirteen thousand, four hundred twenty-one".