100013201320 has 64 divisors (see below), whose sum is σ = 234272509200. Its totient is φ = 38379694080.

The previous prime is 100013201317. The next prime is 100013201333. The reversal of 100013201320 is 23102310001.

It can be written as a sum of positive squares in 8 ways, for example, as 11312875044 + 88700326276 = 106362^2 + 297826^2 .

100013201320 is a modest number, since divided by 13201320 gives 1000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 100013201320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92461 + ... + 456700.

Almost surely, 2^100013201320 is an apocalyptic number.

100013201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100013201320 is an abundant number, since it is smaller than the sum of its proper divisors (134259307880).

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

100013201320 is a wasteful number, since it uses less digits than its factorization.

100013201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549358 (or 549354 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100013201320 its reverse (23102310001), we get a palindrome (123115511321).

The spelling of 100013201320 in words is "one hundred billion, thirteen million, two hundred one thousand, three hundred twenty".