202313013913152 has 448 divisors, whose sum is σ = 628583641382400. Its totient is φ = 64474841604096.

The previous prime is 202313013913133. The next prime is 202313013913163. The reversal of 202313013913152 is 251319310313202.

202313013913152 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 1 + 301 + 39 + 1 + 315 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7304496168 + ... + 7304523864.

Almost surely, 2^{202313013913152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202313013913152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314291820691200).

202313013913152 is an abundant number, since it is smaller than the sum of its proper divisors (426270627469248).

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

202313013913152 is an equidigital number, since it uses as much as digits as its factorization.

202313013913152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30022 (or 29994 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 202313013913152 in words is "two hundred two trillion, three hundred thirteen billion, thirteen million, nine hundred thirteen thousand, one hundred fifty-two".