13310320434400 has 144 divisors (see below), whose sum is σ = 35452188414720. Its totient is φ = 4839517785600.

The previous prime is 13310320434361. The next prime is 13310320434409. The reversal of 13310320434400 is 443402301331.

13310320434400 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 (13310320434409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74420281 + ... + 74598919.

It is an arithmetic number, because the mean of its divisors is an integer number (246195752880).

Almost surely, 2^{13310320434400} is an apocalyptic number.

13310320434400 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 13310320434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17726094207360).

13310320434400 is an abundant number, since it is smaller than the sum of its proper divisors (22141867980320).

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

13310320434400 is a wasteful number, since it uses less digits than its factorization.

13310320434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187137 (or 187124 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 13310320434400 its reverse (443402301331), we get a palindrome (13753722735731).

The spelling of 13310320434400 in words is "thirteen trillion, three hundred ten billion, three hundred twenty million, four hundred thirty-four thousand, four hundred".