313137683712 has 216 divisors, whose sum is σ = 1049324028480. Its totient is φ = 87951237120.

The previous prime is 313137683689. The next prime is 313137683753. The reversal of 313137683712 is 217386731313.

313137683712 is a `hidden beast` number, since 3 + 131 + 376 + 83 + 71 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 787012 + ... + 1116092.

Almost surely, 2^313137683712 is an apocalyptic number.

313137683712 is a gapful number since it is divisible by the number (32) 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 313137683712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524662014240).

313137683712 is an abundant number, since it is smaller than the sum of its proper divisors (736186344768).

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

313137683712 is a wasteful number, since it uses less digits than its factorization.

313137683712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329169 (or 329152 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The spelling of 313137683712 in words is "three hundred thirteen billion, one hundred thirty-seven million, six hundred eighty-three thousand, seven hundred twelve".