100213033000 has 128 divisors (see below), whose sum is σ = 238470635520. Its totient is φ = 39411993600.

The previous prime is 100213032943. The next prime is 100213033007. The reversal of 100213033000 is 330312001.

It is not an unprimeable number, because it can be changed into a prime (100213033007) 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, 14347509 + ... + 14354491.

It is an arithmetic number, because the mean of its divisors is an integer number (1863051840).

Almost surely, 2^100213033000 is an apocalyptic number.

100213033000 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 100213033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119235317760).

100213033000 is an abundant number, since it is smaller than the sum of its proper divisors (138257602520).

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

100213033000 is a wasteful number, since it uses less digits than its factorization.

100213033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7244 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 100213033000 its reverse (330312001), we get a palindrome (100543345001).

The spelling of 100213033000 in words is "one hundred billion, two hundred thirteen million, thirty-three thousand".