100100133 has 24 divisors (see below), whose sum is σ = 169714688. Its totient is φ = 55652832.

The previous prime is 100100111. The next prime is 100100149. The reversal of 100100133 is 331001001.

It is not a de Polignac number, because 100100133 - 2⁶ = 100100069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100183) 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, 19141 + ... + 23802.

Almost surely, 2^100100133 is an apocalyptic number.

It is an amenable number.

100100133 is a deficient number, since it is larger than the sum of its proper divisors (69614555).

100100133 is a wasteful number, since it uses less digits than its factorization.

100100133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42993 (or 42990 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 100100133 is about 10005.0053972999. The cubic root of 100100133 is about 464.3137570844.

Adding to 100100133 its reverse (331001001), we get a palindrome (431101134).

It can be divided in two parts, 1001001 and 33, that multiplied together give a palindrome (33033033).

The spelling of 100100133 in words is "one hundred million, one hundred thousand, one hundred thirty-three".