13312141323120 has 120 divisors (see below), whose sum is σ = 44893665460800. Its totient is φ = 3535051150848.

The previous prime is 13312141323059. The next prime is 13312141323149. The reversal of 13312141323120 is 2132314121331.

13312141323120 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 214 + 1 + 323 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38508015 + ... + 38852174.

It is an arithmetic number, because the mean of its divisors is an integer number (374113878840).

Almost surely, 2^{13312141323120} is an apocalyptic number.

13312141323120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312141323120 is an abundant number, since it is smaller than the sum of its proper divisors (31581524137680).

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

13312141323120 is a wasteful number, since it uses less digits than its factorization.

13312141323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77360447 (or 77360438 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13312141323120 its reverse (2132314121331), we get a palindrome (15444455444451).

The spelling of 13312141323120 in words is "thirteen trillion, three hundred twelve billion, one hundred forty-one million, three hundred twenty-three thousand, one hundred twenty".