201320302310100 has 108 divisors (see below), whose sum is σ = 631212202096476. Its totient is φ = 53669683445760.

The previous prime is 201320302309991. The next prime is 201320302310131. The reversal of 201320302310100 is 1013203023102.

201320302310100 is a `hidden beast` number, since 2 + 0 + 1 + 320 + 30 + 2 + 310 + 1 + 0 + 0 = 666.

201320302310100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 42892465986756 + 158427836323344 = 6549234^2 + 12586812^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29698477 + ... + 35841876.

Almost surely, 2^{201320302310100} is an apocalyptic number.

201320302310100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201320302310100 is an abundant number, since it is smaller than the sum of its proper divisors (429891899786376).

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

201320302310100 is a wasteful number, since it uses less digits than its factorization.

201320302310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65543786 (or 65543776 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201320302310100 its reverse (1013203023102), we get a palindrome (202333505333202).

The spelling of 201320302310100 in words is "two hundred one trillion, three hundred twenty billion, three hundred two million, three hundred ten thousand, one hundred".