100321112133 has 24 divisors (see below), whose sum is σ = 162354238176. Its totient is φ = 59157410400.

The previous prime is 100321112131. The next prime is 100321112141. The reversal of 100321112133 is 331211123001.

100321112133 is a `hidden beast` number, since 100 + 321 + 112 + 133 = 666.

It is not a de Polignac number, because 100321112133 - 2¹ = 100321112131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100321112131) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13690183 + ... + 13697508.

It is an arithmetic number, because the mean of its divisors is an integer number (6764759924).

Almost surely, 2^100321112133 is an apocalyptic number.

It is an amenable number.

100321112133 is a deficient number, since it is larger than the sum of its proper divisors (62033126043).

100321112133 is a wasteful number, since it uses less digits than its factorization.

100321112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27387745 (or 27387742 counting only the distinct ones).

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

Adding to 100321112133 its reverse (331211123001), we get a palindrome (431532235134).

The spelling of 100321112133 in words is "one hundred billion, three hundred twenty-one million, one hundred twelve thousand, one hundred thirty-three".