10000313 has 4 divisors (see below), whose sum is σ = 10099428. Its totient is φ = 9901200.

The previous prime is 10000303. The next prime is 10000339. The reversal of 10000313 is 31300001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4032064 + 5968249 = 2008^2 + 2443^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000313 - 2¹⁰ = 9999289 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10000313.

It is not an unprimeable number, because it can be changed into a prime (10000303) 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 3 ways as a sum of consecutive naturals, for example, 49406 + ... + 49607.

It is an arithmetic number, because the mean of its divisors is an integer number (2524857).

Almost surely, 2^10000313 is an apocalyptic number.

It is an amenable number.

10000313 is a deficient number, since it is larger than the sum of its proper divisors (99115).

10000313 is an equidigital number, since it uses as much as digits as its factorization.

10000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99114.

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 10000313 is about 3162.3271494265. The cubic root of 10000313 is about 215.4457167733.

Adding to 10000313 its reverse (31300001), we get a palindrome (41300314).

The spelling of 10000313 in words is "ten million, three hundred thirteen", and thus it is an aban number.