313133112000 has 168 divisors, whose sum is σ = 1120129588032. Its totient is φ = 83502144000.

The previous prime is 313133111989. The next prime is 313133112053. The reversal of 313133112000 is 211331313.

It is a happy number.

313133112000 is a `hidden beast` number, since 3 + 131 + 331 + 1 + 200 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2102536 + ... + 2246535.

It is an arithmetic number, because the mean of its divisors is an integer number (6667438024).

Almost surely, 2^313133112000 is an apocalyptic number.

313133112000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313133112000 is an abundant number, since it is smaller than the sum of its proper divisors (806996476032).

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

313133112000 is a wasteful number, since it uses less digits than its factorization.

313133112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4349104 (or 4349081 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 313133112000 its reverse (211331313), we get a palindrome (313344443313).

The spelling of 313133112000 in words is "three hundred thirteen billion, one hundred thirty-three million, one hundred twelve thousand".