100133013000 has 64 divisors (see below), whose sum is σ = 312415009920. Its totient is φ = 26702136000.

The previous prime is 100133012981. The next prime is 100133013007. The reversal of 100133013000 is 310331001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100133013007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16685836 + ... + 16691835.

It is an arithmetic number, because the mean of its divisors is an integer number (4881484530).

Almost surely, 2^100133013000 is an apocalyptic number.

100133013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100133013000 is an abundant number, since it is smaller than the sum of its proper divisors (212281996920).

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

100133013000 is a wasteful number, since it uses less digits than its factorization.

100133013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33377695 (or 33377681 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 100133013000 its reverse (310331001), we get a palindrome (100443344001).

The spelling of 100133013000 in words is "one hundred billion, one hundred thirty-three million, thirteen thousand".