13232819232 has 96 divisors (see below), whose sum is σ = 38675568960. Its totient is φ = 4401815040.

The previous prime is 13232819209. The next prime is 13232819263. The reversal of 13232819232 is 23291823231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408628 + ... + 439820.

It is an arithmetic number, because the mean of its divisors is an integer number (402870510).

Almost surely, 2^13232819232 is an apocalyptic number.

13232819232 is a gapful number since it is divisible by the number (12) 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 13232819232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19337784480).

13232819232 is an abundant number, since it is smaller than the sum of its proper divisors (25442749728).

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

13232819232 is a wasteful number, since it uses less digits than its factorization.

13232819232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31703 (or 31689 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 13232819232 in words is "thirteen billion, two hundred thirty-two million, eight hundred nineteen thousand, two hundred thirty-two".