13038101 has 2 divisors, whose sum is σ = 13038102. Its totient is φ = 13038100.

The previous prime is 13038089. The next prime is 13038107. The reversal of 13038101 is 10183031.

13038101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9891025 + 3147076 = 3145^2 + 1774^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13038101 is a prime.

It is a Sophie Germain prime.

It is a Chen 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 13038101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13038107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6519050 + 6519051.

It is an arithmetic number, because the mean of its divisors is an integer number (6519051).

Almost surely, 2^13038101 is an apocalyptic number.

It is an amenable number.

13038101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13038101 is an equidigital number, since it uses as much as digits as its factorization.

13038101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 13038101 is about 3610.8310677737. The cubic root of 13038101 is about 235.3629580595.

The spelling of 13038101 in words is "thirteen million, thirty-eight thousand, one hundred one".