100133032131 has 12 divisors (see below), whose sum is σ = 157785384120. Its totient is φ = 60686686080.

The previous prime is 100133032117. The next prime is 100133032147. The reversal of 100133032131 is 131230331001.

It is a happy number.

100133032131 is a `hidden beast` number, since 10 + 0 + 1 + 330 + 321 + 3 + 1 = 666.

It is not a de Polignac number, because 100133032131 - 2¹¹ = 100133030083 is a prime.

It is a super-2 number, since 2×100133032131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100133032331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 505722286 + ... + 505722483.

It is an arithmetic number, because the mean of its divisors is an integer number (13148782010).

Almost surely, 2^100133032131 is an apocalyptic number.

100133032131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100133032131 is a deficient number, since it is larger than the sum of its proper divisors (57652351989).

100133032131 is a wasteful number, since it uses less digits than its factorization.

100133032131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011444786 (or 1011444783 counting only the distinct ones).

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

Adding to 100133032131 its reverse (131230331001), we get a palindrome (231363363132).

The spelling of 100133032131 in words is "one hundred billion, one hundred thirty-three million, thirty-two thousand, one hundred thirty-one".