100013132100 has 72 divisors (see below), whose sum is σ = 330710097088. Its totient is φ = 22860144000.

The previous prime is 100013131997. The next prime is 100013132111. The reversal of 100013132100 is 1231310001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23810551 + ... + 23814750.

Almost surely, 2^100013132100 is an apocalyptic number.

100013132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100013132100 is an abundant number, since it is smaller than the sum of its proper divisors (230696964988).

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

100013132100 is a wasteful number, since it uses less digits than its factorization.

100013132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47625325 (or 47625318 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100013132100 its reverse (1231310001), we get a palindrome (101244442101).

The spelling of 100013132100 in words is "one hundred billion, thirteen million, one hundred thirty-two thousand, one hundred".