13331311112320 has 128 divisors (see below), whose sum is σ = 33556503456000. Its totient is φ = 5050515898368.

The previous prime is 13331311112293. The next prime is 13331311112341. The reversal of 13331311112320 is 2321111313331.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45978361 + ... + 46267399.

It is an arithmetic number, because the mean of its divisors is an integer number (262160183250).

Almost surely, 2^{13331311112320} is an apocalyptic number.

13331311112320 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 13331311112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16778251728000).

13331311112320 is an abundant number, since it is smaller than the sum of its proper divisors (20225192343680).

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

13331311112320 is a wasteful number, since it uses less digits than its factorization.

13331311112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292870 (or 292858 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 13331311112320 its reverse (2321111313331), we get a palindrome (15652422425651).

The spelling of 13331311112320 in words is "thirteen trillion, three hundred thirty-one billion, three hundred eleven million, one hundred twelve thousand, three hundred twenty".