100010133 has 40 divisors (see below), whose sum is σ = 160997760. Its totient is φ = 61637760.

The previous prime is 100010107. The next prime is 100010143. The reversal of 100010133 is 331010001.

It is not a de Polignac number, because 100010133 - 2⁹ = 100009621 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80628 + ... + 81858.

It is an arithmetic number, because the mean of its divisors is an integer number (4024944).

Almost surely, 2^100010133 is an apocalyptic number.

It is an amenable number.

100010133 is a deficient number, since it is larger than the sum of its proper divisors (60987627).

100010133 is a wasteful number, since it uses less digits than its factorization.

100010133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1310 counting only the distinct ones).

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

The square root of 100010133 is about 10000.5066371659. The cubic root of 100010133 is about 464.1745605716.

Adding to 100010133 its reverse (331010001), we get a palindrome (431020134).

The spelling of 100010133 in words is "one hundred million, ten thousand, one hundred thirty-three".