13201344 has 168 divisors, whose sum is σ = 42714672. Its totient is φ = 3870720.

The previous prime is 13201337. The next prime is 13201373. The reversal of 13201344 is 44310231.

13201344 is a `hidden beast` number, since 1 + 320 + 1 + 344 = 666.

13201344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306987 + ... + 307029.

It is an arithmetic number, because the mean of its divisors is an integer number (254254).

Almost surely, 2^13201344 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 13201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21357336).

13201344 is an abundant number, since it is smaller than the sum of its proper divisors (29513328).

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

13201344 is a wasteful number, since it uses less digits than its factorization.

13201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13201344 is about 3633.3653821216. The cubic root of 13201344 is about 236.3411708252.

Adding to 13201344 its reverse (44310231), we get a palindrome (57511575).

The spelling of 13201344 in words is "thirteen million, two hundred one thousand, three hundred forty-four".