100310133 has 16 divisors (see below), whose sum is σ = 166749696. Its totient is φ = 52109040.

The previous prime is 100310087. The next prime is 100310143. The reversal of 100310133 is 331013001.

It is not a de Polignac number, because 100310133 - 2¹⁸ = 100047989 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100310143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216891 + ... + 217352.

It is an arithmetic number, because the mean of its divisors is an integer number (10421856).

Almost surely, 2^100310133 is an apocalyptic number.

It is an amenable number.

100310133 is a deficient number, since it is larger than the sum of its proper divisors (66439563).

100310133 is a wasteful number, since it uses less digits than its factorization.

100310133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434264.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 100310133 is about 10015.4946457976. The cubic root of 100310133 is about 464.6382247935.

Adding to 100310133 its reverse (331013001), we get a palindrome (431323134).

The spelling of 100310133 in words is "one hundred million, three hundred ten thousand, one hundred thirty-three".