100133101332 has 324 divisors, whose sum is σ = 301741296948. Its totient is φ = 27953164800.

The previous prime is 100133101309. The next prime is 100133101363. The reversal of 100133101332 is 233101331001.

It is a happy number.

100133101332 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 331 + 0 + 1 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82464311556 + 17668789776 = 287166^2 + 132924^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 58182232 + ... + 58183952.

Almost surely, 2^100133101332 is an apocalyptic number.

100133101332 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 100133101332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150870648474).

100133101332 is an abundant number, since it is smaller than the sum of its proper divisors (201608195616).

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

100133101332 is a wasteful number, since it uses less digits than its factorization.

100133101332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1793 counting only the distinct ones).

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

Adding to 100133101332 its reverse (233101331001), we get a palindrome (333234432333).

The spelling of 100133101332 in words is "one hundred billion, one hundred thirty-three million, one hundred one thousand, three hundred thirty-two".