10302313 has 16 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 8240400.

The previous prime is 10302287. The next prime is 10302319. The reversal of 10302313 is 31320301.

It is not a de Polignac number, because 10302313 - 2¹⁷ = 10171241 is a prime.

It is a super-2 number, since 2×10302313² = 212275306299938, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10302293 and 10302302.

It is not an unprimeable number, because it can be changed into a prime (10302319) 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 15 ways as a sum of consecutive naturals, for example, 8898 + ... + 9988.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 2^10302313 is an apocalyptic number.

It is an amenable number.

10302313 is a deficient number, since it is larger than the sum of its proper divisors (2277527).

10302313 is a wasteful number, since it uses less digits than its factorization.

10302313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 10302313 is about 3209.7216390211. The cubic root of 10302313 is about 217.5929967402.

Adding to 10302313 its reverse (31320301), we get a palindrome (41622614).

The spelling of 10302313 in words is "ten million, three hundred two thousand, three hundred thirteen".