313087057920 has 2240 divisors, whose sum is σ = 1486662097536. Its totient is φ = 61152952320.

The previous prime is 313087057901. The next prime is 313087057957. The reversal of 313087057920 is 29750780313.

It is a happy number.

313087057920 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 8 + 70 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 5132574690 + ... + 5132574750.

Almost surely, 2^313087057920 is an apocalyptic number.

313087057920 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 313087057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743331048768).

313087057920 is an abundant number, since it is smaller than the sum of its proper divisors (1173575039616).

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

313087057920 is a wasteful number, since it uses less digits than its factorization.

313087057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 313087057920 in words is "three hundred thirteen billion, eighty-seven million, fifty-seven thousand, nine hundred twenty".