100012232133 has 36 divisors (see below), whose sum is σ = 158906960940. Its totient is φ = 60568421760.

The previous prime is 100012232081. The next prime is 100012232153. The reversal of 100012232133 is 331232210001.

It can be written as a sum of positive squares in 2 ways, for example, as 78291957249 + 21720274884 = 279807^2 + 147378^2 .

It is not a de Polignac number, because 100012232133 - 2⁸ = 100012231877 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012232153) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1461753 + ... + 1528641.

Almost surely, 2^100012232133 is an apocalyptic number.

It is an amenable number.

100012232133 is a deficient number, since it is larger than the sum of its proper divisors (58894728807).

100012232133 is a wasteful number, since it uses less digits than its factorization.

100012232133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68290 (or 68276 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100012232133 its reverse (331232210001), we get a palindrome (431244442134).

The spelling of 100012232133 in words is "one hundred billion, twelve million, two hundred thirty-two thousand, one hundred thirty-three".