13122320331120 has 1280 divisors, whose sum is σ = 57862216581120. Its totient is φ = 2369179238400.

The previous prime is 13122320331053. The next prime is 13122320331149. The reversal of 13122320331120 is 2113302322131.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 716626765 + ... + 716645075.

It is an arithmetic number, because the mean of its divisors is an integer number (45204856704).

Almost surely, 2^{13122320331120} is an apocalyptic number.

13122320331120 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 13122320331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28931108290560).

13122320331120 is an abundant number, since it is smaller than the sum of its proper divisors (44739896250000).

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

13122320331120 is a wasteful number, since it uses less digits than its factorization.

13122320331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18534 (or 18528 counting only the distinct ones).

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

Adding to 13122320331120 its reverse (2113302322131), we get a palindrome (15235622653251).

The spelling of 13122320331120 in words is "thirteen trillion, one hundred twenty-two billion, three hundred twenty million, three hundred thirty-one thousand, one hundred twenty".