312131100001320 has 128 divisors (see below), whose sum is σ = 1040653820160000. Its totient is φ = 83217614388480.

The previous prime is 312131100001313. The next prime is 312131100001321. The reversal of 312131100001320 is 23100001131213.

312131100001320 is a `hidden beast` number, since 31 + 2 + 1 + 311 + 0 + 0 + 0 + 0 + 1 + 320 = 666.

It is a super-2 number, since 2×312131100001320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312131100001293 and 312131100001302.

It is not an unprimeable number, because it can be changed into a prime (312131100001321) 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, 24928591 + ... + 35294430.

It is an arithmetic number, because the mean of its divisors is an integer number (8130107970000).

Almost surely, 2^{312131100001320} is an apocalyptic number.

312131100001320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312131100001320 is an abundant number, since it is smaller than the sum of its proper divisors (728522720158680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312131100001320 is a wasteful number, since it uses less digits than its factorization.

312131100001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60227840 (or 60227830 counting only the distinct ones).

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

Adding to 312131100001320 its reverse (23100001131213), we get a palindrome (335231101132533).

The spelling of 312131100001320 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred million, one thousand, three hundred twenty".