10335313 has 2 divisors, whose sum is σ = 10335314. Its totient is φ = 10335312.

The previous prime is 10335301. The next prime is 10335323. The reversal of 10335313 is 31353301.

10335313 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., 7800849 + 2534464 = 2793^2 + 1592^2 .

It is a cyclic number.

It is not a de Polignac number, because 10335313 - 2⁹ = 10334801 is a prime.

It is not a weakly prime, because it can be changed into another prime (10335323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5167656 + 5167657.

It is an arithmetic number, because the mean of its divisors is an integer number (5167657).

Almost surely, 2^10335313 is an apocalyptic number.

It is an amenable number.

10335313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10335313 is an equidigital number, since it uses as much as digits as its factorization.

10335313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 405, while the sum is 19.

The square root of 10335313 is about 3214.8581617235. The cubic root of 10335313 is about 217.8250778162.

Adding to 10335313 its reverse (31353301), we get a palindrome (41688614).

It can be divided in two parts, 10335 and 313, that added together give a cube (10648 = 22³).

The spelling of 10335313 in words is "ten million, three hundred thirty-five thousand, three hundred thirteen".