10307313 has 12 divisors (see below), whose sum is σ = 15034240. Its totient is φ = 6804216.

The previous prime is 10307309. The next prime is 10307327. The reversal of 10307313 is 31370301.

It is not a de Polignac number, because 10307313 - 2² = 10307309 is a prime.

It is a super-3 number, since 3×10307313³ (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10307303) 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 in 11 ways as a sum of consecutive naturals, for example, 4633 + ... + 6486.

Almost surely, 2^10307313 is an apocalyptic number.

It is an amenable number.

10307313 is a deficient number, since it is larger than the sum of its proper divisors (4726927).

10307313 is a wasteful number, since it uses less digits than its factorization.

10307313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11228 (or 11225 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 10307313 is about 3210.5004282822. The cubic root of 10307313 is about 217.6281923648.

Adding to 10307313 its reverse (31370301), we get a palindrome (41677614).

The spelling of 10307313 in words is "ten million, three hundred seven thousand, three hundred thirteen".