100113312133 has 16 divisors (see below), whose sum is σ = 104024448000. Its totient is φ = 96233743872.

The previous prime is 100113312107. The next prime is 100113312151. The reversal of 100113312133 is 331213311001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100113312133 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100113312133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113372133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6089941 + ... + 6106357.

It is an arithmetic number, because the mean of its divisors is an integer number (6501528000).

Almost surely, 2^100113312133 is an apocalyptic number.

It is an amenable number.

100113312133 is a deficient number, since it is larger than the sum of its proper divisors (3911135867).

100113312133 is a wasteful number, since it uses less digits than its factorization.

100113312133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17364.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 100113312133 its reverse (331213311001), we get a palindrome (431326623134).

The spelling of 100113312133 in words is "one hundred billion, one hundred thirteen million, three hundred twelve thousand, one hundred thirty-three".