10003011313 has 2 divisors, whose sum is σ = 10003011314. Its totient is φ = 10003011312.

The previous prime is 10003011289. The next prime is 10003011329. The reversal of 10003011313 is 31311030001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9996600289 + 6411024 = 99983^2 + 2532^2 .

It is an emirp because it is prime and its reverse (31311030001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10003011313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10003011293 and 10003011302.

It is not a weakly prime, because it can be changed into another prime (10003011113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001505656 + 5001505657.

It is an arithmetic number, because the mean of its divisors is an integer number (5001505657).

Almost surely, 2^10003011313 is an apocalyptic number.

It is an amenable number.

10003011313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003011313 is an equidigital number, since it uses as much as digits as its factorization.

10003011313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10003011313 its reverse (31311030001), we get a palindrome (41314041314).

The spelling of 10003011313 in words is "ten billion, three million, eleven thousand, three hundred thirteen".