13301288 has 96 divisors (see below), whose sum is σ = 33962880. Its totient is φ = 4752000.

The previous prime is 13301287. The next prime is 13301341. The reversal of 13301288 is 88210331.

13301288 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 (26).

It is not an unprimeable number, because it can be changed into a prime (13301287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88013 + ... + 88163.

It is an arithmetic number, because the mean of its divisors is an integer number (353780).

Almost surely, 2^13301288 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 13301288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16981440).

13301288 is an abundant number, since it is smaller than the sum of its proper divisors (20661592).

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

13301288 is a wasteful number, since it uses less digits than its factorization.

13301288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 13301288 is about 3647.0930890231. The cubic root of 13301288 is about 236.9360981854.

The spelling of 13301288 in words is "thirteen million, three hundred one thousand, two hundred eighty-eight".