13312032000 has 288 divisors, whose sum is σ = 46145998080. Its totient is φ = 3394969600.

The previous prime is 13312031983. The next prime is 13312032001. The reversal of 13312032000 is 23021331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312032001) 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, 2204986 + ... + 2211014.

It is an arithmetic number, because the mean of its divisors is an integer number (160229160).

Almost surely, 2^13312032000 is an apocalyptic number.

13312032000 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 13312032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23072999040).

13312032000 is an abundant number, since it is smaller than the sum of its proper divisors (32833966080).

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

13312032000 is an equidigital number, since it uses as much as digits as its factorization.

13312032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6086 (or 6062 counting only the distinct ones).

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

Adding to 13312032000 its reverse (23021331), we get a palindrome (13335053331).

The spelling of 13312032000 in words is "thirteen billion, three hundred twelve million, thirty-two thousand".