313053363216400 has 60 divisors (see below), whose sum is σ = 752201734575232. Its totient is φ = 125206189499520.

The previous prime is 313053363216389. The next prime is 313053363216409. The reversal of 313053363216400 is 4612363350313.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (313053363216409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 44052504 + ... + 50662903.

Almost surely, 2^{313053363216400} is an apocalyptic number.

It is an amenable number.

313053363216400 is an abundant number, since it is smaller than the sum of its proper divisors (439148371358832).

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

313053363216400 is a wasteful number, since it uses less digits than its factorization.

313053363216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94723688 (or 94723677 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 40.

The spelling of 313053363216400 in words is "three hundred thirteen trillion, fifty-three billion, three hundred sixty-three million, two hundred sixteen thousand, four hundred".