13321033013232 has 480 divisors, whose sum is σ = 44194351618560. Its totient is φ = 3666870466560.

The previous prime is 13321033013179. The next prime is 13321033013237. The reversal of 13321033013232 is 23231033012331.

13321033013232 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 0 + 330 + 1 + 323 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13321033013196 and 13321033013205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321033013237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1072454382 + ... + 1072466802.

It is an arithmetic number, because the mean of its divisors is an integer number (92071565872).

Almost surely, 2^{13321033013232} is an apocalyptic number.

13321033013232 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 13321033013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22097175809280).

13321033013232 is an abundant number, since it is smaller than the sum of its proper divisors (30873318605328).

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

13321033013232 is a wasteful number, since it uses less digits than its factorization.

13321033013232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12821 (or 12812 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13321033013232 its reverse (23231033012331), we get a palindrome (36552066025563).

Subtracting 13321033013232 from its reverse (23231033012331), we obtain a palindrome (9909999999099).

The spelling of 13321033013232 in words is "thirteen trillion, three hundred twenty-one billion, thirty-three million, thirteen thousand, two hundred thirty-two".