312131100324321 has 16 divisors (see below), whose sum is σ = 472255092691200. Its totient is φ = 203660008721424.

The previous prime is 312131100324319. The next prime is 312131100324353. The reversal of 312131100324321 is 123423001131213.

312131100324321 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 1 + 10 + 0 + 324 + 321 = 666.

It is not a de Polignac number, because 312131100324321 - 2¹ = 312131100324319 is a prime.

It is a super-2 number, since 2×312131100324321² (a number of 30 digits) contains 22 as substring.

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 (312131100326321) 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, 122983095786 + ... + 122983098323.

It is an arithmetic number, because the mean of its divisors is an integer number (29515943293200).

Almost surely, 2^{312131100324321} is an apocalyptic number.

It is an amenable number.

312131100324321 is a deficient number, since it is larger than the sum of its proper divisors (160123992366879).

312131100324321 is a wasteful number, since it uses less digits than its factorization.

312131100324321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245966194165 (or 245966194159 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 312131100324321 its reverse (123423001131213), we get a palindrome (435554101455534).

The spelling of 312131100324321 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred million, three hundred twenty-four thousand, three hundred twenty-one".