313322001332112 has 120 divisors (see below), whose sum is σ = 909417992106624. Its totient is φ = 104432050479744.

The previous prime is 313322001332107. The next prime is 313322001332113. The reversal of 313322001332112 is 211233100223313.

313322001332112 is a `hidden beast` number, since 3 + 1 + 3 + 322 + 0 + 0 + 1 + 3 + 321 + 12 = 666.

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 (313322001332113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43893738 + ... + 50530230.

Almost surely, 2^{313322001332112} is an apocalyptic number.

It is an amenable number.

313322001332112 is an abundant number, since it is smaller than the sum of its proper divisors (596095990774512).

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

313322001332112 is a wasteful number, since it uses less digits than its factorization.

313322001332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6648659 (or 6648641 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 313322001332112 its reverse (211233100223313), we get a palindrome (524555101555425).

The spelling of 313322001332112 in words is "three hundred thirteen trillion, three hundred twenty-two billion, one million, three hundred thirty-two thousand, one hundred twelve".