13053241344 has 384 divisors, whose sum is σ = 41607820800. Its totient is φ = 3587112960.

The previous prime is 13053241339. The next prime is 13053241349. The reversal of 13053241344 is 44314235031.

It is an interprime number because it is at equal distance from previous prime (13053241339) and next prime (13053241349).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (13053241349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72923047 + ... + 72923225.

It is an arithmetic number, because the mean of its divisors is an integer number (108353700).

Almost surely, 2^13053241344 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 13053241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20803910400).

13053241344 is an abundant number, since it is smaller than the sum of its proper divisors (28554579456).

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

13053241344 is a wasteful number, since it uses less digits than its factorization.

13053241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 291 counting only the distinct ones).

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

Adding to 13053241344 its reverse (44314235031), we get a palindrome (57367476375).

The spelling of 13053241344 in words is "thirteen billion, fifty-three million, two hundred forty-one thousand, three hundred forty-four".