10003313 has 4 divisors (see below), whose sum is σ = 10037748. Its totient is φ = 9968880.

The previous prime is 10003277. The next prime is 10003337. The reversal of 10003313 is 31330001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31330001 = 709 ⋅44189.

It can be written as a sum of positive squares in 2 ways, for example, as 7656289 + 2347024 = 2767^2 + 1532^2 .

It is a cyclic number.

It is not a de Polignac number, because 10003313 - 2¹² = 9999217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10003294 and 10003303.

It is not an unprimeable number, because it can be changed into a prime (10003363) 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 in 3 ways as a sum of consecutive naturals, for example, 16778 + ... + 17363.

It is an arithmetic number, because the mean of its divisors is an integer number (2509437).

Almost surely, 2^10003313 is an apocalyptic number.

It is an amenable number.

10003313 is a deficient number, since it is larger than the sum of its proper divisors (34435).

10003313 is an equidigital number, since it uses as much as digits as its factorization.

10003313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34434.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 10003313 is about 3162.8014480836. The cubic root of 10003313 is about 215.4672585167.

Adding to 10003313 its reverse (31330001), we get a palindrome (41333314).

The spelling of 10003313 in words is "ten million, three thousand, three hundred thirteen".