10131832000 has 112 divisors (see below), whose sum is σ = 25675876512. Its totient is φ = 3958348800.

The previous prime is 10131831979. The next prime is 10131832013. The reversal of 10131832000 is 23813101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329274 + ... + 358726.

Almost surely, 2^10131832000 is an apocalyptic number.

10131832000 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 10131832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12837938256).

10131832000 is an abundant number, since it is smaller than the sum of its proper divisors (15544044512).

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

10131832000 is an equidigital number, since it uses as much as digits as its factorization.

10131832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29523 (or 29503 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 10131832000 in words is "ten billion, one hundred thirty-one million, eight hundred thirty-two thousand".