13322311632 has 120 divisors (see below), whose sum is σ = 43210627200. Its totient is φ = 3752743680.

The previous prime is 13322311591. The next prime is 13322311637. The reversal of 13322311632 is 23611322331.

13322311632 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 23 + 1 + 1 + 632 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13322311596 and 13322311605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322311637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21507 + ... + 164642.

It is an arithmetic number, because the mean of its divisors is an integer number (360088560).

Almost surely, 2^13322311632 is an apocalyptic number.

13322311632 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 13322311632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21605313600).

13322311632 is an abundant number, since it is smaller than the sum of its proper divisors (29888315568).

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

13322311632 is a wasteful number, since it uses less digits than its factorization.

13322311632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186241 (or 186232 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 13322311632 its reverse (23611322331), we get a palindrome (36933633963).

The spelling of 13322311632 in words is "thirteen billion, three hundred twenty-two million, three hundred eleven thousand, six hundred thirty-two".