100133331001 has 32 divisors (see below), whose sum is σ = 115531960320. Its totient is φ = 85893350400.

The previous prime is 100133330989. The next prime is 100133331029.

100133331001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100133331001 - 2⁷ = 100133330873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100133331041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42231346 + ... + 42233716.

It is an arithmetic number, because the mean of its divisors is an integer number (3610373760).

Almost surely, 2^100133331001 is an apocalyptic number.

100133331001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100133331001 is a deficient number, since it is larger than the sum of its proper divisors (15398629319).

100133331001 is a wasteful number, since it uses less digits than its factorization.

100133331001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597.

The product of its (nonzero) digits is 81, while the sum is 16.

It can be divided in two parts, 100133 and 331001, that added together give a palindrome (431134).

The spelling of 100133331001 in words is "one hundred billion, one hundred thirty-three million, three hundred thirty-one thousand, one".