100101232133 has 32 divisors (see below), whose sum is σ = 118557542400. Its totient is φ = 82741538880.

The previous prime is 100101232087. The next prime is 100101232181. The reversal of 100101232133 is 331232101001.

It is not a de Polignac number, because 100101232133 - 2⁸ = 100101231877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101232193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7840391 + ... + 7853147.

It is an arithmetic number, because the mean of its divisors is an integer number (3704923200).

Almost surely, 2^100101232133 is an apocalyptic number.

It is an amenable number.

100101232133 is a deficient number, since it is larger than the sum of its proper divisors (18456310267).

100101232133 is a wasteful number, since it uses less digits than its factorization.

100101232133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13137.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100101232133 its reverse (331232101001), we get a palindrome (431333333134).

The spelling of 100101232133 in words is "one hundred billion, one hundred one million, two hundred thirty-two thousand, one hundred thirty-three".