13017288 has 64 divisors (see below), whose sum is σ = 34344000. Its totient is φ = 4105472.

The previous prime is 13017283. The next prime is 13017289. The reversal of 13017288 is 88271031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13017283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40906 + ... + 41222.

It is an arithmetic number, because the mean of its divisors is an integer number (536625).

Almost surely, 2^13017288 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 13017288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17172000).

13017288 is an abundant number, since it is smaller than the sum of its proper divisors (21326712).

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

13017288 is a wasteful number, since it uses less digits than its factorization.

13017288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 13017288 is about 3607.9478931936. The cubic root of 13017288 is about 235.2376530491.

The spelling of 13017288 in words is "thirteen million, seventeen thousand, two hundred eighty-eight".