100133001100332 has 144 divisors (see below), whose sum is σ = 272158850003040. Its totient is φ = 30977939994624.

The previous prime is 100133001100291. The next prime is 100133001100343. The reversal of 100133001100332 is 233001100331001.

It is a happy number.

100133001100332 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 330 + 0 + 1 + 1 + 0 + 0 + 332 = 666.

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 47 ways as a sum of consecutive naturals, for example, 12409773 + ... + 18822020.

It is an arithmetic number, because the mean of its divisors is an integer number (1889992013910).

Almost surely, 2^{100133001100332} is an apocalyptic number.

100133001100332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100133001100332 is an abundant number, since it is smaller than the sum of its proper divisors (172025848902708).

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

100133001100332 is a wasteful number, since it uses less digits than its factorization.

100133001100332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31231952 (or 31231947 counting only the distinct ones).

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

Adding to 100133001100332 its reverse (233001100331001), we get a palindrome (333134101431333).

The spelling of 100133001100332 in words is "one hundred trillion, one hundred thirty-three billion, one million, one hundred thousand, three hundred thirty-two".