100131132120 has 64 divisors (see below), whose sum is σ = 310083517440. Its totient is φ = 25840291200.

The previous prime is 100131132113. The next prime is 100131132121. The reversal of 100131132120 is 21231131001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100131132120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131132121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13454766 + ... + 13462205.

It is an arithmetic number, because the mean of its divisors is an integer number (4845054960).

Almost surely, 2^100131132120 is an apocalyptic number.

100131132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100131132120 is an abundant number, since it is smaller than the sum of its proper divisors (209952385320).

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

100131132120 is a wasteful number, since it uses less digits than its factorization.

100131132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26917016 (or 26917012 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100131132120 its reverse (21231131001), we get a palindrome (121362263121).

The spelling of 100131132120 in words is "one hundred billion, one hundred thirty-one million, one hundred thirty-two thousand, one hundred twenty".