13320233201232 has 400 divisors, whose sum is σ = 41794992360000. Its totient is φ = 4092602174208.

The previous prime is 13320233201203. The next prime is 13320233201239. The reversal of 13320233201232 is 23210233202331.

13320233201232 is a `hidden beast` number, since 1 + 3 + 3 + 202 + 332 + 0 + 123 + 2 = 666.

It is a super-2 number, since 2×13320233201232² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13320233201196 and 13320233201205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320233201239) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 328882519 + ... + 328923017.

It is an arithmetic number, because the mean of its divisors is an integer number (104487480900).

Almost surely, 2^{13320233201232} is an apocalyptic number.

13320233201232 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 13320233201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20897496180000).

13320233201232 is an abundant number, since it is smaller than the sum of its proper divisors (28474759158768).

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

13320233201232 is an equidigital number, since it uses as much as digits as its factorization.

13320233201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40613 (or 40560 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13320233201232 its reverse (23210233202331), we get a palindrome (36530466403563).

The spelling of 13320233201232 in words is "thirteen trillion, three hundred twenty billion, two hundred thirty-three million, two hundred one thousand, two hundred thirty-two".