100133211132 has 36 divisors (see below), whose sum is σ = 255620599416. Its totient is φ = 33047263200.

The previous prime is 100133211131. The next prime is 100133211151. The reversal of 100133211132 is 231112331001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133211131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13766058 + ... + 13773329.

It is an arithmetic number, because the mean of its divisors is an integer number (7100572206).

Almost surely, 2^100133211132 is an apocalyptic number.

100133211132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100133211132 is an abundant number, since it is smaller than the sum of its proper divisors (155487388284).

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

100133211132 is a wasteful number, since it uses less digits than its factorization.

100133211132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27539498 (or 27539493 counting only the distinct ones).

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

Adding to 100133211132 its reverse (231112331001), we get a palindrome (331245542133).

The spelling of 100133211132 in words is "one hundred billion, one hundred thirty-three million, two hundred eleven thousand, one hundred thirty-two".