313078213393920 has 2880 divisors, whose sum is σ = 1300555223263296. Its totient is φ = 71732413071360.

The previous prime is 313078213393919. The next prime is 313078213393991. The reversal of 313078213393920 is 29393312870313.

313078213393920 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 7 + 8 + 213 + 39 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 226703991630 + ... + 226703993010.

Almost surely, 2^{313078213393920} is an apocalyptic number.

313078213393920 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 313078213393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650277611631648).

313078213393920 is an abundant number, since it is smaller than the sum of its proper divisors (987477009869376).

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

313078213393920 is a wasteful number, since it uses less digits than its factorization.

313078213393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 313078213393920 in words is "three hundred thirteen trillion, seventy-eight billion, two hundred thirteen million, three hundred ninety-three thousand, nine hundred twenty".