100133113 has 6 divisors (see below), whose sum is σ = 100611194. Its totient is φ = 99657264.

The previous prime is 100133101. The next prime is 100133123. The reversal of 100133113 is 311331001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 58491904 + 41641209 = 7648^2 + 6453^2 .

It is not a de Polignac number, because 100133113 - 2⁵ = 100133081 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100133093 and 100133102.

It is not an unprimeable number, because it can be changed into a prime (100133123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56245 + ... + 57997.

Almost surely, 2^100133113 is an apocalyptic number.

It is an amenable number.

100133113 is a deficient number, since it is larger than the sum of its proper divisors (478081).

100133113 is an frugal number, since it uses more digits than its factorization.

100133113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 100133113 is about 10006.6534365891. The cubic root of 100133113 is about 464.3647439840.

Adding to 100133113 its reverse (311331001), we get a palindrome (411464114).

The spelling of 100133113 in words is "one hundred million, one hundred thirty-three thousand, one hundred thirteen".