13131111320320 has 432 divisors, whose sum is σ = 40076547668640. Its totient is φ = 4091143913472.

The previous prime is 13131111320297. The next prime is 13131111320329. The reversal of 13131111320320 is 2302311113131.

It is a junction number, because it is equal to n+sod(n) for n = 13131111320291 and 13131111320300.

It is not an unprimeable number, because it can be changed into a prime (13131111320329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30708627 + ... + 31133293.

It is an arithmetic number, because the mean of its divisors is an integer number (92769786270).

Almost surely, 2^{13131111320320} is an apocalyptic number.

13131111320320 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 13131111320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20038273834320).

13131111320320 is an abundant number, since it is smaller than the sum of its proper divisors (26945436348320).

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

13131111320320 is a wasteful number, since it uses less digits than its factorization.

13131111320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424748 (or 424727 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13131111320320 its reverse (2302311113131), we get a palindrome (15433422433451).

The spelling of 13131111320320 in words is "thirteen trillion, one hundred thirty-one billion, one hundred eleven million, three hundred twenty thousand, three hundred twenty".