10005013 has 2 divisors, whose sum is σ = 10005014. Its totient is φ = 10005012.

The previous prime is 10005011. The next prime is 10005019. The reversal of 10005013 is 31050001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7879249 + 2125764 = 2807^2 + 1458^2 .

It is an emirp because it is prime and its reverse (31050001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10005013 - 2¹ = 10005011 is a prime.

Together with 10005011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002506 + 5002507.

It is an arithmetic number, because the mean of its divisors is an integer number (5002507).

Almost surely, 2^10005013 is an apocalyptic number.

It is an amenable number.

10005013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005013 is an equidigital number, since it uses as much as digits as its factorization.

10005013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 10005013 is about 3163.0701857531. The cubic root of 10005013 is about 215.4794635928.

Adding to 10005013 its reverse (31050001), we get a palindrome (41055014).

The spelling of 10005013 in words is "ten million, five thousand, thirteen".