13301120321320 has 128 divisors (see below), whose sum is σ = 33934841136000. Its totient is φ = 4651478092800.

The previous prime is 13301120321311. The next prime is 13301120321329. The reversal of 13301120321320 is 2312302110331.

It is an interprime number because it is at equal distance from previous prime (13301120321311) and next prime (13301120321329).

It is a junction number, because it is equal to n+sod(n) for n = 13301120321291 and 13301120321300.

It is not an unprimeable number, because it can be changed into a prime (13301120321329) 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, 37873086 + ... + 38222674.

It is an arithmetic number, because the mean of its divisors is an integer number (265115946375).

Almost surely, 2^{13301120321320} is an apocalyptic number.

13301120321320 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 13301120321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16967420568000).

13301120321320 is an abundant number, since it is smaller than the sum of its proper divisors (20633720814680).

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

13301120321320 is a wasteful number, since it uses less digits than its factorization.

13301120321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353483 (or 353479 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13301120321320 its reverse (2312302110331), we get a palindrome (15613422431651).

The spelling of 13301120321320 in words is "thirteen trillion, three hundred one billion, one hundred twenty million, three hundred twenty-one thousand, three hundred twenty".