313607481120 has 72 divisors (see below), whose sum is σ = 1070185534236. Its totient is φ = 83628661248.

The previous prime is 313607481097. The next prime is 313607481137. The reversal of 313607481120 is 21184706313.

It is a happy number.

313607481120 is a `hidden beast` number, since 3 + 1 + 3 + 607 + 48 + 1 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 283735198224 + 29872282896 = 532668^2 + 172836^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108890047 + ... + 108892926.

Almost surely, 2^313607481120 is an apocalyptic number.

313607481120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313607481120 is an abundant number, since it is smaller than the sum of its proper divisors (756578053116).

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

313607481120 is a wasteful number, since it uses less digits than its factorization.

313607481120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217782994 (or 217782983 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 313607481120 in words is "three hundred thirteen billion, six hundred seven million, four hundred eighty-one thousand, one hundred twenty".