13038121 has 2 divisors, whose sum is σ = 13038122. Its totient is φ = 13038120.

The previous prime is 13038107. The next prime is 13038131. The reversal of 13038121 is 12183031.

13038121 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., 8042896 + 4995225 = 2836^2 + 2235^2 .

It is a cyclic number.

It is not a de Polignac number, because 13038121 - 2⁵ = 13038089 is a prime.

It is not a weakly prime, because it can be changed into another prime (13038101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6519060 + 6519061.

It is an arithmetic number, because the mean of its divisors is an integer number (6519061).

Almost surely, 2^13038121 is an apocalyptic number.

It is an amenable number.

13038121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13038121 is an equidigital number, since it uses as much as digits as its factorization.

13038121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 13038121 is about 3610.8338372182. The cubic root of 13038121 is about 235.3630784057.

The spelling of 13038121 in words is "thirteen million, thirty-eight thousand, one hundred twenty-one".