100112331200133 has 16 divisors (see below), whose sum is σ = 156272907240576. Its totient is φ = 55811752584960.

The previous prime is 100112331200129. The next prime is 100112331200149. The reversal of 100112331200133 is 331002133211001.

It is a happy number.

It is not a de Polignac number, because 100112331200133 - 2² = 100112331200129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112331201133) 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, 58137241416 + ... + 58137243137.

It is an arithmetic number, because the mean of its divisors is an integer number (9767056702536).

Almost surely, 2^{100112331200133} is an apocalyptic number.

It is an amenable number.

100112331200133 is a deficient number, since it is larger than the sum of its proper divisors (56160576040443).

100112331200133 is a wasteful number, since it uses less digits than its factorization.

100112331200133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116274484604.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 100112331200133 its reverse (331002133211001), we get a palindrome (431114464411134).

The spelling of 100112331200133 in words is "one hundred trillion, one hundred twelve billion, three hundred thirty-one million, two hundred thousand, one hundred thirty-three".