13312431541200 has 240 divisors, whose sum is σ = 46887209312256. Its totient is φ = 3201844262400.

The previous prime is 13312431541177. The next prime is 13312431541229. The reversal of 13312431541200 is 214513421331.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2294142 + ... + 5646941.

Almost surely, 2^{13312431541200} is an apocalyptic number.

13312431541200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312431541200 is an abundant number, since it is smaller than the sum of its proper divisors (33574777771056).

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

13312431541200 is a wasteful number, since it uses less digits than its factorization.

13312431541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7941242 (or 7941231 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 13312431541200 its reverse (214513421331), we get a palindrome (13526944962531).

The spelling of 13312431541200 in words is "thirteen trillion, three hundred twelve billion, four hundred thirty-one million, five hundred forty-one thousand, two hundred".