313689093120 has 1056 divisors, whose sum is σ = 1251467020800. Its totient is φ = 74392141824.

The previous prime is 313689093077. The next prime is 313689093161. The reversal of 313689093120 is 21390986313.

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 95 ways as a sum of consecutive naturals, for example, 677514009 + ... + 677514471.

Almost surely, 2^313689093120 is an apocalyptic number.

313689093120 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 313689093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625733510400).

313689093120 is an abundant number, since it is smaller than the sum of its proper divisors (937777927680).

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

313689093120 is a wasteful number, since it uses less digits than its factorization.

313689093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 313689093120 in words is "three hundred thirteen billion, six hundred eighty-nine million, ninety-three thousand, one hundred twenty".