10233132000 has 384 divisors, whose sum is σ = 41264391168. Its totient is φ = 2158848000.

The previous prime is 10233131999. The next prime is 10233132037. The reversal of 10233132000 is 23133201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1087315 + ... + 1096685.

It is an arithmetic number, because the mean of its divisors is an integer number (107459352).

Almost surely, 2^10233132000 is an apocalyptic number.

10233132000 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 10233132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20632195584).

10233132000 is an abundant number, since it is smaller than the sum of its proper divisors (31031259168).

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

10233132000 is a wasteful number, since it uses less digits than its factorization.

10233132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9419 (or 9401 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10233132000 its reverse (23133201), we get a palindrome (10256265201).

The spelling of 10233132000 in words is "ten billion, two hundred thirty-three million, one hundred thirty-two thousand".