13038601 has 2 divisors, whose sum is σ = 13038602. Its totient is φ = 13038600.

The previous prime is 13038577. The next prime is 13038607. The reversal of 13038601 is 10683031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8856576 + 4182025 = 2976^2 + 2045^2 .

It is an emirp because it is prime and its reverse (10683031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13038601 - 2⁹ = 13038089 is a prime.

It is not a weakly prime, because it can be changed into another prime (13038607) 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 as a sum of consecutive naturals, namely, 6519300 + 6519301.

It is an arithmetic number, because the mean of its divisors is an integer number (6519301).

Almost surely, 2^13038601 is an apocalyptic number.

It is an amenable number.

13038601 is a deficient number, since it is larger than the sum of its proper divisors (1).

13038601 is an equidigital number, since it uses as much as digits as its factorization.

13038601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 13038601 is about 3610.9003032485. The cubic root of 13038601 is about 235.3659666769.

The spelling of 13038601 in words is "thirteen million, thirty-eight thousand, six hundred one".