100133331 has 8 divisors (see below), whose sum is σ = 134066064. Its totient is φ = 66478080.

The previous prime is 100133323. The next prime is 100133339. The reversal of 100133331 is 133331001.

It is an interprime number because it is at equal distance from previous prime (100133323) and next prime (100133339).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100133331 - 2³ = 100133323 is a prime.

It is a super-2 number, since 2×100133331² = 20053367954311122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100133331.

It is not an unprimeable number, because it can be changed into a prime (100133339) 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 7 ways as a sum of consecutive naturals, for example, 68526 + ... + 69971.

It is an arithmetic number, because the mean of its divisors is an integer number (16758258).

Almost surely, 2^100133331 is an apocalyptic number.

100133331 is a deficient number, since it is larger than the sum of its proper divisors (33932733).

100133331 is a wasteful number, since it uses less digits than its factorization.

100133331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138741.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 100133331 is about 10006.6643293357. The cubic root of 100133331 is about 464.3650809736.

Adding to 100133331 its reverse (133331001), we get a palindrome (233464332).

The spelling of 100133331 in words is "one hundred million, one hundred thirty-three thousand, three hundred thirty-one".