10002313 has 4 divisors (see below), whose sum is σ = 10066180. Its totient is φ = 9938448.

The previous prime is 10002287. The next prime is 10002323. The reversal of 10002313 is 31320001.

10002313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 1776889 + 8225424 = 1333^2 + 2868^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002313 - 2⁹ = 10001801 is a prime.

It is a super-3 number, since 3×10002313³ (a number of 22 digits) contains 333 as substring.

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 10002313.

It is not an unprimeable number, because it can be changed into a prime (10002323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31698 + ... + 32011.

It is an arithmetic number, because the mean of its divisors is an integer number (2516545).

Almost surely, 2^10002313 is an apocalyptic number.

It is an amenable number.

10002313 is a deficient number, since it is larger than the sum of its proper divisors (63867).

10002313 is an equidigital number, since it uses as much as digits as its factorization.

10002313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63866.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 10002313 is about 3162.6433564346. The cubic root of 10002313 is about 215.4600784141.

Adding to 10002313 its reverse (31320001), we get a palindrome (41322314).

The spelling of 10002313 in words is "ten million, two thousand, three hundred thirteen".