313007800320 has 240 divisors, whose sum is σ = 1085174461800. Its totient is φ = 83462455296.

The previous prime is 313007800289. The next prime is 313007800363. The reversal of 313007800320 is 23008700313.

313007800320 is a `hidden beast` number, since 31 + 300 + 7 + 8 + 0 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×313007800320² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 23586327 + ... + 23599593.

Almost surely, 2^313007800320 is an apocalyptic number.

313007800320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313007800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542587230900).

313007800320 is an abundant number, since it is smaller than the sum of its proper divisors (772166661480).

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

313007800320 is an frugal number, since it uses more digits than its factorization.

313007800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13316 (or 13277 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 313007800320 in words is "three hundred thirteen billion, seven million, eight hundred thousand, three hundred twenty".