13311332312120 has 128 divisors (see below), whose sum is σ = 32859800064000. Its totient is φ = 4834180362240.

The previous prime is 13311332312087. The next prime is 13311332312233. The reversal of 13311332312120 is 2121323311331.

It is a self number, because there is not a number n which added to its sum of digits gives 13311332312120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316025 + ... + 5169384.

It is an arithmetic number, because the mean of its divisors is an integer number (256717188000).

Almost surely, 2^{13311332312120} is an apocalyptic number.

13311332312120 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 13311332312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16429900032000).

13311332312120 is an abundant number, since it is smaller than the sum of its proper divisors (19548467751880).

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

13311332312120 is a wasteful number, since it uses less digits than its factorization.

13311332312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5485573 (or 5485569 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 13311332312120 its reverse (2121323311331), we get a palindrome (15432655623451).

The spelling of 13311332312120 in words is "thirteen trillion, three hundred eleven billion, three hundred thirty-two million, three hundred twelve thousand, one hundred twenty".