13413310424320 has 432 divisors, whose sum is σ = 33861400937280. Its totient is φ = 5088997343232.

The previous prime is 13413310424303. The next prime is 13413310424323. The reversal of 13413310424320 is 2342401331431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13413310424323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14164002087 + ... + 14164003033.

It is an arithmetic number, because the mean of its divisors is an integer number (78382872540).

Almost surely, 2^{13413310424320} is an apocalyptic number.

13413310424320 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 13413310424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16930700468640).

13413310424320 is an abundant number, since it is smaller than the sum of its proper divisors (20448090512960).

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

13413310424320 is an equidigital number, since it uses as much as digits as its factorization.

13413310424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 13413310424320 its reverse (2342401331431), we get a palindrome (15755711755751).

The spelling of 13413310424320 in words is "thirteen trillion, four hundred thirteen billion, three hundred ten million, four hundred twenty-four thousand, three hundred twenty".