313083328320 has 252 divisors, whose sum is σ = 1252693284804. Its totient is φ = 71561871360.

The previous prime is 313083328303. The next prime is 313083328333. The reversal of 313083328320 is 23823380313.

313083328320 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 8 + 3 + 328 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91649085696 + 221434242624 = 302736^2 + 470568^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-3 number, since 3×313083328320³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 968161 + ... + 1250400.

Almost surely, 2^313083328320 is an apocalyptic number.

313083328320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313083328320 is an abundant number, since it is smaller than the sum of its proper divisors (939609956484).

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

313083328320 is a wasteful number, since it uses less digits than its factorization.

313083328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218598 (or 2218578 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 313083328320 in words is "three hundred thirteen billion, eighty-three million, three hundred twenty-eight thousand, three hundred twenty".