313700713920 has 784 divisors, whose sum is σ = 1250658237312. Its totient is φ = 74253957120.

The previous prime is 313700713919. The next prime is 313700713951. The reversal of 313700713920 is 29317007313.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 110340019 + ... + 110342861.

Almost surely, 2^313700713920 is an apocalyptic number.

313700713920 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 313700713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625329118656).

313700713920 is an abundant number, since it is smaller than the sum of its proper divisors (936957523392).

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

313700713920 is a wasteful number, since it uses less digits than its factorization.

313700713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The spelling of 313700713920 in words is "three hundred thirteen billion, seven hundred million, seven hundred thirteen thousand, nine hundred twenty".