13312322311200 has 144 divisors (see below), whose sum is σ = 47270846409696. Its totient is φ = 3227229644800.

The previous prime is 13312322311181. The next prime is 13312322311201. The reversal of 13312322311200 is 211322321331.

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

It is not an unprimeable number, because it can be changed into a prime (13312322311201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252100917 + ... + 252153716.

It is an arithmetic number, because the mean of its divisors is an integer number (328269766734).

Almost surely, 2^{13312322311200} is an apocalyptic number.

13312322311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312322311200 is an abundant number, since it is smaller than the sum of its proper divisors (33958524098496).

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

13312322311200 is a wasteful number, since it uses less digits than its factorization.

13312322311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504254667 (or 504254654 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13312322311200 its reverse (211322321331), we get a palindrome (13523644632531).

The spelling of 13312322311200 in words is "thirteen trillion, three hundred twelve billion, three hundred twenty-two million, three hundred eleven thousand, two hundred".