13038107 has 2 divisors, whose sum is σ = 13038108. Its totient is φ = 13038106.

The previous prime is 13038101. The next prime is 13038121. The reversal of 13038107 is 70183031.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13038107 - 2⁶ = 13038043 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13038101) 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, 6519053 + 6519054.

It is an arithmetic number, because the mean of its divisors is an integer number (6519054).

Almost surely, 2^13038107 is an apocalyptic number.

13038107 is a deficient number, since it is larger than the sum of its proper divisors (1).

13038107 is an equidigital number, since it uses as much as digits as its factorization.

13038107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 13038107 is about 3610.8318986073. The cubic root of 13038107 is about 235.3629941633.

The spelling of 13038107 in words is "thirteen million, thirty-eight thousand, one hundred seven".