13331121331200 has 264 divisors, whose sum is σ = 46379005422720. Its totient is φ = 3367861862400.

The previous prime is 13331121331159. The next prime is 13331121331243. The reversal of 13331121331200 is 213312113331.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3108756 + ... + 6027155.

Almost surely, 2^{13331121331200} is an apocalyptic number.

13331121331200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331121331200 is an abundant number, since it is smaller than the sum of its proper divisors (33047884091520).

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

13331121331200 is a wasteful number, since it uses less digits than its factorization.

13331121331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9135963 (or 9135940 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13331121331200 its reverse (213312113331), we get a palindrome (13544433444531).

The spelling of 13331121331200 in words is "thirteen trillion, three hundred thirty-one billion, one hundred twenty-one million, three hundred thirty-one thousand, two hundred".