100321013000 has 64 divisors (see below), whose sum is σ = 252808985520. Its totient is φ = 37041600000.

The previous prime is 100321012999. The next prime is 100321013017. The reversal of 100321013000 is 310123001.

100321013000 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 8 ways, for example, as 5337471364 + 94983541636 = 73058^2 + 308194^2 .

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, 3845501 + ... + 3871500.

Almost surely, 2^100321013000 is an apocalyptic number.

100321013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100321013000 is an abundant number, since it is smaller than the sum of its proper divisors (152487972520).

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

100321013000 is a wasteful number, since it uses less digits than its factorization.

100321013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7717035 (or 7717021 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100321013000 its reverse (310123001), we get a palindrome (100631136001).

The spelling of 100321013000 in words is "one hundred billion, three hundred twenty-one million, thirteen thousand".