100322013312 has 48 divisors (see below), whose sum is σ = 288687046830. Its totient is φ = 33440670720.

The previous prime is 100322013299. The next prime is 100322013329. The reversal of 100322013312 is 213310223001.

100322013312 is a `hidden beast` number, since 10 + 0 + 322 + 0 + 1 + 331 + 2 = 666.

100322013312 is digitally balanced in base 3, 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 only one way, i.e., 78458250816 + 21863762496 = 280104^2 + 147864^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43541389 + ... + 43543692.

Almost surely, 2^100322013312 is an apocalyptic number.

100322013312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100322013312 is an abundant number, since it is smaller than the sum of its proper divisors (188365033518).

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

100322013312 is an equidigital number, since it uses as much as digits as its factorization.

100322013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87085101 (or 87085086 counting only the distinct ones).

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

Adding to 100322013312 its reverse (213310223001), we get a palindrome (313632236313).

The spelling of 100322013312 in words is "one hundred billion, three hundred twenty-two million, thirteen thousand, three hundred twelve".