313332806400 has 108 divisors (see below), whose sum is σ = 1034063602152. Its totient is φ = 83555409920.

The previous prime is 313332806321. The next prime is 313332806407. The reversal of 313332806400 is 4608233313.

It is not an unprimeable number, because it can be changed into a prime (313332806407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8140509 + ... + 8178908.

Almost surely, 2^313332806400 is an apocalyptic number.

313332806400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313332806400 is an abundant number, since it is smaller than the sum of its proper divisors (720730795752).

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

313332806400 is a wasteful number, since it uses less digits than its factorization.

313332806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16319446 (or 16319427 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 313332806400 in words is "three hundred thirteen billion, three hundred thirty-two million, eight hundred six thousand, four hundred".