10038113 has 2 divisors, whose sum is σ = 10038114. Its totient is φ = 10038112.

The previous prime is 10038073. The next prime is 10038139. The reversal of 10038113 is 31183001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8720209 + 1317904 = 2953^2 + 1148^2 .

It is a cyclic number.

It is not a de Polignac number, because 10038113 - 2¹⁶ = 9972577 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10038091 and 10038100.

It is not a weakly prime, because it can be changed into another prime (10038173) 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, 5019056 + 5019057.

It is an arithmetic number, because the mean of its divisors is an integer number (5019057).

Almost surely, 2^10038113 is an apocalyptic number.

It is an amenable number.

10038113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10038113 is an equidigital number, since it uses as much as digits as its factorization.

10038113 is an odious number, because the sum of its binary digits is odd.

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

The square root of 10038113 is about 3168.2981235989. The cubic root of 10038113 is about 215.7168285761.

The spelling of 10038113 in words is "ten million, thirty-eight thousand, one hundred thirteen".