13205244130320 has 160 divisors (see below), whose sum is σ = 44692391468160. Its totient is φ = 3198786949120.

The previous prime is 13205244130277. The next prime is 13205244130339. The reversal of 13205244130320 is 2303144250231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1462702 + ... + 5343218.

It is an arithmetic number, because the mean of its divisors is an integer number (279327446676).

Almost surely, 2^{13205244130320} is an apocalyptic number.

13205244130320 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 13205244130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22346195734080).

13205244130320 is an abundant number, since it is smaller than the sum of its proper divisors (31487147337840).

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

13205244130320 is a wasteful number, since it uses less digits than its factorization.

13205244130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881833 (or 3881827 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13205244130320 its reverse (2303144250231), we get a palindrome (15508388380551).

The spelling of 13205244130320 in words is "thirteen trillion, two hundred five billion, two hundred forty-four million, one hundred thirty thousand, three hundred twenty".