13322442314232 has 160 divisors (see below), whose sum is σ = 37947233945280. Its totient is φ = 4365982632960.

The previous prime is 13322442314231. The next prime is 13322442314249. The reversal of 13322442314232 is 23241324422331.

13322442314232 is a `hidden beast` number, since 1 + 3 + 3 + 224 + 4 + 2 + 3 + 1 + 423 + 2 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322442314231) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14356257 + ... + 15256047.

It is an arithmetic number, because the mean of its divisors is an integer number (237170212158).

Almost surely, 2^{13322442314232} is an apocalyptic number.

13322442314232 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 13322442314232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18973616972640).

13322442314232 is an abundant number, since it is smaller than the sum of its proper divisors (24624791631048).

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

13322442314232 is a wasteful number, since it uses less digits than its factorization.

13322442314232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900195 (or 900182 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 13322442314232 its reverse (23241324422331), we get a palindrome (36563766736563).

The spelling of 13322442314232 in words is "thirteen trillion, three hundred twenty-two billion, four hundred forty-two million, three hundred fourteen thousand, two hundred thirty-two".