13288041 has 24 divisors (see below), whose sum is σ = 20846280. Its totient is φ = 8107776.

The previous prime is 13288027. The next prime is 13288063. The reversal of 13288041 is 14088231.

It can be written as a sum of positive squares in 4 ways, for example, as 1010025 + 12278016 = 1005^2 + 3504^2 .

It is not a de Polignac number, because 13288041 - 2⁷ = 13287913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13287996 and 13288014.

It is not an unprimeable number, because it can be changed into a prime (13288021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15615 + ... + 16443.

It is an arithmetic number, because the mean of its divisors is an integer number (868595).

Almost surely, 2^13288041 is an apocalyptic number.

It is an amenable number.

13288041 is a deficient number, since it is larger than the sum of its proper divisors (7558239).

13288041 is a wasteful number, since it uses less digits than its factorization.

13288041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 13288041 is about 3645.2765327201. The cubic root of 13288041 is about 236.8574157042.

The spelling of 13288041 in words is "thirteen million, two hundred eighty-eight thousand, forty-one".