10003003313 has 2 divisors, whose sum is σ = 10003003314. Its totient is φ = 10003003312.

The previous prime is 10003003271. The next prime is 10003003327. The reversal of 10003003313 is 31330030001.

It is an a-pointer prime, because the next prime (10003003327) can be obtained adding 10003003313 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7410971569 + 2592031744 = 86087^2 + 50912^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10003003313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10003003333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001501656 + 5001501657.

It is an arithmetic number, because the mean of its divisors is an integer number (5001501657).

Almost surely, 2^10003003313 is an apocalyptic number.

It is an amenable number.

10003003313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003003313 is an equidigital number, since it uses as much as digits as its factorization.

10003003313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 10003003313 its reverse (31330030001), we get a palindrome (41333033314).

The spelling of 10003003313 in words is "ten billion, three million, three thousand, three hundred thirteen".