100133002008 has 64 divisors (see below), whose sum is σ = 299543176800. Its totient is φ = 30810153600.

The previous prime is 100133002001. The next prime is 100133002027. The reversal of 100133002008 is 800200331001.

It is a super-2 number, since 2×100133002008² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133002001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17827143 + ... + 17832758.

Almost surely, 2^100133002008 is an apocalyptic number.

100133002008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100133002008 is an abundant number, since it is smaller than the sum of its proper divisors (199410174792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100133002008 is a wasteful number, since it uses less digits than its factorization.

100133002008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35659929 (or 35659919 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100133002008 its reverse (800200331001), we get a palindrome (900333333009).

The spelling of 100133002008 in words is "one hundred billion, one hundred thirty-three million, two thousand, eight".