100233133000 has 384 divisors, whose sum is σ = 317334850560. Its totient is φ = 28835136000.

The previous prime is 100233132959. The next prime is 100233133031. The reversal of 100233133000 is 331332001.

100233133000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11006449 + ... + 11015551.

It is an arithmetic number, because the mean of its divisors is an integer number (826392840).

Almost surely, 2^100233133000 is an apocalyptic number.

100233133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100233133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158667425280).

100233133000 is an abundant number, since it is smaller than the sum of its proper divisors (217101717560).

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

100233133000 is a wasteful number, since it uses less digits than its factorization.

100233133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9166 (or 9141 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 100233133000 its reverse (331332001), we get a palindrome (100564465001).

The spelling of 100233133000 in words is "one hundred billion, two hundred thirty-three million, one hundred thirty-three thousand".