13117344 has 48 divisors (see below), whose sum is σ = 34782048. Its totient is φ = 4328192.

The previous prime is 13117343. The next prime is 13117369. The reversal of 13117344 is 44371131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13117344² = 344129427228672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13117343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9634 + ... + 10910.

It is an arithmetic number, because the mean of its divisors is an integer number (724626).

Almost surely, 2^13117344 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 13117344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17391024).

13117344 is an abundant number, since it is smaller than the sum of its proper divisors (21664704).

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

13117344 is a wasteful number, since it uses less digits than its factorization.

13117344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1389 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 13117344 is about 3621.7874040313. The cubic root of 13117344 is about 235.8388251235.

Adding to 13117344 its reverse (44371131), we get a palindrome (57488475).

The spelling of 13117344 in words is "thirteen million, one hundred seventeen thousand, three hundred forty-four".