100213201320 has 64 divisors (see below), whose sum is σ = 300660577920. Its totient is φ = 26721656064.

The previous prime is 100213201301. The next prime is 100213201367. The reversal of 100213201320 is 23102312001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100213201320.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3039162 + ... + 3071958.

It is an arithmetic number, because the mean of its divisors is an integer number (4697821530).

Almost surely, 2^100213201320 is an apocalyptic number.

100213201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100213201320 is an abundant number, since it is smaller than the sum of its proper divisors (200447376600).

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

100213201320 is a wasteful number, since it uses less digits than its factorization.

100213201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58274 (or 58270 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100213201320 its reverse (23102312001), we get a palindrome (123315513321).

The spelling of 100213201320 in words is "one hundred billion, two hundred thirteen million, two hundred one thousand, three hundred twenty".