13321321344 has 256 divisors, whose sum is σ = 42511968000. Its totient is φ = 4092291072.

The previous prime is 13321321339. The next prime is 13321321373. The reversal of 13321321344 is 44312312331.

It is a happy number.

13321321344 is a `hidden beast` number, since 1 + 332 + 1 + 321 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

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, 2426827 + ... + 2432309.

It is an arithmetic number, because the mean of its divisors is an integer number (166062375).

Almost surely, 2^13321321344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13321321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21255984000).

13321321344 is an abundant number, since it is smaller than the sum of its proper divisors (29190646656).

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

13321321344 is a wasteful number, since it uses less digits than its factorization.

13321321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5562 (or 5544 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 13321321344 its reverse (44312312331), we get a palindrome (57633633675).

The spelling of 13321321344 in words is "thirteen billion, three hundred twenty-one million, three hundred twenty-one thousand, three hundred forty-four".