13838306113 has 2 divisors, whose sum is σ = 13838306114. Its totient is φ = 13838306112.

The previous prime is 13838306033. The next prime is 13838306123. The reversal of 13838306113 is 31160383831.

It is a happy number.

13838306113 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., 9087236929 + 4751069184 = 95327^2 + 68928^2 .

It is a cyclic number.

It is not a de Polignac number, because 13838306113 - 2⁹ = 13838305601 is a prime.

It is not a weakly prime, because it can be changed into another prime (13838306123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6919153056 + 6919153057.

It is an arithmetic number, because the mean of its divisors is an integer number (6919153057).

Almost surely, 2^13838306113 is an apocalyptic number.

It is an amenable number.

13838306113 is a deficient number, since it is larger than the sum of its proper divisors (1).

13838306113 is an equidigital number, since it uses as much as digits as its factorization.

13838306113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 37.

Adding to 13838306113 its reverse (31160383831), we get a palindrome (44998689944).

The spelling of 13838306113 in words is "thirteen billion, eight hundred thirty-eight million, three hundred six thousand, one hundred thirteen".