13301306612320 has 96 divisors (see below), whose sum is σ = 31591651855680. Its totient is φ = 5292260843520.

The previous prime is 13301306612303. The next prime is 13301306612323. The reversal of 13301306612320 is 2321660310331.

13301306612320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301306612323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25322269 + ... + 25842211.

It is an arithmetic number, because the mean of its divisors is an integer number (329079706830).

Almost surely, 2^{13301306612320} is an apocalyptic number.

13301306612320 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 13301306612320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15795825927840).

13301306612320 is an abundant number, since it is smaller than the sum of its proper divisors (18290345243360).

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

13301306612320 is a wasteful number, since it uses less digits than its factorization.

13301306612320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520808 (or 520800 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

Adding to 13301306612320 its reverse (2321660310331), we get a palindrome (15622966922651).

The spelling of 13301306612320 in words is "thirteen trillion, three hundred one billion, three hundred six million, six hundred twelve thousand, three hundred twenty".