13313413344 has 192 divisors, whose sum is σ = 44186591232. Its totient is φ = 3409190400.

The previous prime is 13313413319. The next prime is 13313413349. The reversal of 13313413344 is 44331431331.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313413349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512149 + ... + 537515.

It is an arithmetic number, because the mean of its divisors is an integer number (230138496).

Almost surely, 2^13313413344 is an apocalyptic number.

13313413344 is a gapful number since it is divisible by the number (14) 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 13313413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22093295616).

13313413344 is an abundant number, since it is smaller than the sum of its proper divisors (30873177888).

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

13313413344 is a wasteful number, since it uses less digits than its factorization.

13313413344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25469 (or 25461 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

Adding to 13313413344 its reverse (44331431331), we get a palindrome (57644844675).

The spelling of 13313413344 in words is "thirteen billion, three hundred thirteen million, four hundred thirteen thousand, three hundred forty-four".