313232414314320 has 160 divisors (see below), whose sum is σ = 1079005577735040. Its totient is φ = 83521371939840.

The previous prime is 313232414314319. The next prime is 313232414314373. The reversal of 313232414314320 is 23413414232313.

313232414314320 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 3 + 2 + 4 + 14 + 314 + 320 = 666.

It is a super-2 number, since 2×313232414314320² (a number of 30 digits) contains 22 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18526875 + ... + 31140165.

It is an arithmetic number, because the mean of its divisors is an integer number (6743784860844).

Almost surely, 2^{313232414314320} is an apocalyptic number.

313232414314320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313232414314320 is an abundant number, since it is smaller than the sum of its proper divisors (765773163420720).

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

313232414314320 is a wasteful number, since it uses less digits than its factorization.

313232414314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12624810 (or 12624798 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 313232414314320 its reverse (23413414232313), we get a palindrome (336645828546633).

The spelling of 313232414314320 in words is "three hundred thirteen trillion, two hundred thirty-two billion, four hundred fourteen million, three hundred fourteen thousand, three hundred twenty".