100113312132 has 18 divisors (see below), whose sum is σ = 253064205758. Its totient is φ = 33371104032.

The previous prime is 100113312107. The next prime is 100113312151. The reversal of 100113312132 is 231213311001.

It can be written as a sum of positive squares in only one way, i.e., 99361126656 + 752185476 = 315216^2 + 27426^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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, 1390462633 + ... + 1390462704.

Almost surely, 2^100113312132 is an apocalyptic number.

100113312132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100113312132 is an abundant number, since it is smaller than the sum of its proper divisors (152950893626).

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

100113312132 is a wasteful number, since it uses less digits than its factorization.

100113312132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780925347 (or 2780925342 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100113312132 its reverse (231213311001), we get a palindrome (331326623133).

The spelling of 100113312132 in words is "one hundred billion, one hundred thirteen million, three hundred twelve thousand, one hundred thirty-two".