13032020033232 has 160 divisors (see below), whose sum is σ = 34736885863680. Its totient is φ = 4207403520000.

The previous prime is 13032020033177. The next prime is 13032020033251. The reversal of 13032020033232 is 23233002023031.

It is a super-3 number, since 3×13032020033232³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 517356894 + ... + 517382082.

It is an arithmetic number, because the mean of its divisors is an integer number (217105536648).

Almost surely, 2^{13032020033232} is an apocalyptic number.

13032020033232 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 13032020033232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17368442931840).

13032020033232 is an abundant number, since it is smaller than the sum of its proper divisors (21704865830448).

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

13032020033232 is a wasteful number, since it uses less digits than its factorization.

13032020033232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27133 (or 27127 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 13032020033232 its reverse (23233002023031), we get a palindrome (36265022056263).

The spelling of 13032020033232 in words is "thirteen trillion, thirty-two billion, twenty million, thirty-three thousand, two hundred thirty-two".