10135313 has 2 divisors, whose sum is σ = 10135314. Its totient is φ = 10135312.

The previous prime is 10135289. The next prime is 10135319. The reversal of 10135313 is 31353101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7772944 + 2362369 = 2788^2 + 1537^2 .

It is a cyclic number.

It is not a de Polignac number, because 10135313 - 2¹⁴ = 10118929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10135291 and 10135300.

It is not a weakly prime, because it can be changed into another prime (10135319) 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, 5067656 + 5067657.

It is an arithmetic number, because the mean of its divisors is an integer number (5067657).

Almost surely, 2^10135313 is an apocalyptic number.

It is an amenable number.

10135313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10135313 is an equidigital number, since it uses as much as digits as its factorization.

10135313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 10135313 is about 3183.6006345018. The cubic root of 10135313 is about 216.4108620777.

Adding to 10135313 its reverse (31353101), we get a palindrome (41488414).

The spelling of 10135313 in words is "ten million, one hundred thirty-five thousand, three hundred thirteen".