100513432000 has 112 divisors (see below), whose sum is σ = 249103883808. Its totient is φ = 40175923200.

The previous prime is 100513431937. The next prime is 100513432003. The reversal of 100513432000 is 234315001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100513432003) 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, 13332232 + ... + 13339768.

Almost surely, 2^100513432000 is an apocalyptic number.

100513432000 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 100513432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124551941904).

100513432000 is an abundant number, since it is smaller than the sum of its proper divisors (148590451808).

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

100513432000 is an equidigital number, since it uses as much as digits as its factorization.

100513432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9231 (or 9211 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 100513432000 its reverse (234315001), we get a palindrome (100747747001).

The spelling of 100513432000 in words is "one hundred billion, five hundred thirteen million, four hundred thirty-two thousand".