13188041 has 2 divisors, whose sum is σ = 13188042. Its totient is φ = 13188040.

The previous prime is 13188029. The next prime is 13188053. The reversal of 13188041 is 14088131.

It is a balanced prime because it is at equal distance from previous prime (13188029) and next prime (13188053).

It can be written as a sum of positive squares in only one way, i.e., 9634816 + 3553225 = 3104^2 + 1885^2 .

It is an emirp because it is prime and its reverse (14088131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13188041 - 2¹⁰ = 13187017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13188041.

It is not a weakly prime, because it can be changed into another prime (13188001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6594020 + 6594021.

It is an arithmetic number, because the mean of its divisors is an integer number (6594021).

Almost surely, 2^13188041 is an apocalyptic number.

It is an amenable number.

13188041 is a deficient number, since it is larger than the sum of its proper divisors (1).

13188041 is an equidigital number, since it uses as much as digits as its factorization.

13188041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 13188041 is about 3631.5342487714. The cubic root of 13188041 is about 236.2617571111.

The spelling of 13188041 in words is "thirteen million, one hundred eighty-eight thousand, forty-one".