100133130132 has 288 divisors, whose sum is σ = 305941708800. Its totient is φ = 27573860160.

The previous prime is 100133130131. The next prime is 100133130143. The reversal of 100133130132 is 231031331001.

It is a happy number.

100133130132 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 331 + 301 + 32 = 666.

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 (100133130131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146607463 + ... + 146608145.

It is an arithmetic number, because the mean of its divisors is an integer number (1062297600).

Almost surely, 2^100133130132 is an apocalyptic number.

100133130132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100133130132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152970854400).

100133130132 is an abundant number, since it is smaller than the sum of its proper divisors (205808578668).

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

100133130132 is a wasteful number, since it uses less digits than its factorization.

100133130132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100133130132 its reverse (231031331001), we get a palindrome (331164461133).

The spelling of 100133130132 in words is "one hundred billion, one hundred thirty-three million, one hundred thirty thousand, one hundred thirty-two".