100013233000 has 64 divisors (see below), whose sum is σ = 234423072000. Its totient is φ = 39938267200.

The previous prime is 100013232983. The next prime is 100013233003. The reversal of 100013233000 is 332310001.

It is a super-2 number, since 2×100013233000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100013233003) 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, 515517 + ... + 682483.

It is an arithmetic number, because the mean of its divisors is an integer number (3662860500).

Almost surely, 2^100013233000 is an apocalyptic number.

100013233000 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 100013233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117211536000).

100013233000 is an abundant number, since it is smaller than the sum of its proper divisors (134409839000).

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

100013233000 is a wasteful number, since it uses less digits than its factorization.

100013233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167587 (or 167573 counting only the distinct ones).

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

Adding to 100013233000 its reverse (332310001), we get a palindrome (100345543001).

The spelling of 100013233000 in words is "one hundred billion, thirteen million, two hundred thirty-three thousand".