13312232133200 has 600 divisors, whose sum is σ = 43834186578336. Its totient is φ = 3830053248000.

The previous prime is 13312232133173. The next prime is 13312232133203. The reversal of 13312232133200 is 233123221331.

13312232133200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13312232133200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312232133203) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 137288735 + ... + 137385665.

Almost surely, 2^{13312232133200} is an apocalyptic number.

13312232133200 is a gapful number since it is divisible by the number (10) 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 13312232133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21917093289168).

13312232133200 is an abundant number, since it is smaller than the sum of its proper divisors (30521954445136).

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

13312232133200 is a wasteful number, since it uses less digits than its factorization.

13312232133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97001 (or 96969 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 13312232133200 its reverse (233123221331), we get a palindrome (13545355354531).

The spelling of 13312232133200 in words is "thirteen trillion, three hundred twelve billion, two hundred thirty-two million, one hundred thirty-three thousand, two hundred".