100133320113 has 24 divisors (see below), whose sum is σ = 148603347048. Its totient is φ = 64926323712.

The previous prime is 100133320051. The next prime is 100133320123. The reversal of 100133320113 is 311023331001.

It is a happy number.

100133320113 is a `hidden beast` number, since 100 + 133 + 320 + 113 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32029545024 + 68103775089 = 178968^2 + 260967^2 .

It is not a de Polignac number, because 100133320113 - 2²⁸ = 99864884657 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100133320123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 828195 + ... + 941367.

It is an arithmetic number, because the mean of its divisors is an integer number (6191806127).

Almost surely, 2^100133320113 is an apocalyptic number.

It is an amenable number.

100133320113 is a deficient number, since it is larger than the sum of its proper divisors (48470026935).

100133320113 is a wasteful number, since it uses less digits than its factorization.

100133320113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115873 (or 115870 counting only the distinct ones).

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

Adding to 100133320113 its reverse (311023331001), we get a palindrome (411156651114).

The spelling of 100133320113 in words is "one hundred billion, one hundred thirty-three million, three hundred twenty thousand, one hundred thirteen".