100213113312 has 72 divisors (see below), whose sum is σ = 306902670984. Its totient is φ = 30834802944.

The previous prime is 100213113307. The next prime is 100213113331. The reversal of 100213113312 is 213311312001.

100213113312 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 311 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 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, 13379418 + ... + 13386905.

It is an arithmetic number, because the mean of its divisors is an integer number (4262537097).

Almost surely, 2^100213113312 is an apocalyptic number.

100213113312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100213113312 is an abundant number, since it is smaller than the sum of its proper divisors (206689557672).

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

100213113312 is a wasteful number, since it uses less digits than its factorization.

100213113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26766352 (or 26766341 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100213113312 its reverse (213311312001), we get a palindrome (313524425313).

The spelling of 100213113312 in words is "one hundred billion, two hundred thirteen million, one hundred thirteen thousand, three hundred twelve".