13310313031320 has 128 divisors (see below), whose sum is σ = 40474536192000. Its totient is φ = 3501181831680.

The previous prime is 13310313031229. The next prime is 13310313031321. The reversal of 13310313031320 is 2313031301331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310313031321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9396621 + ... + 10719939.

It is an arithmetic number, because the mean of its divisors is an integer number (316207314000).

Almost surely, 2^{13310313031320} is an apocalyptic number.

13310313031320 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 13310313031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20237268096000).

13310313031320 is an abundant number, since it is smaller than the sum of its proper divisors (27164223160680).

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

13310313031320 is a wasteful number, since it uses less digits than its factorization.

13310313031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324473 (or 1324469 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 13310313031320 its reverse (2313031301331), we get a palindrome (15623344332651).

The spelling of 13310313031320 in words is "thirteen trillion, three hundred ten billion, three hundred thirteen million, thirty-one thousand, three hundred twenty".