10000013213 has 2 divisors, whose sum is σ = 10000013214. Its totient is φ = 10000013212.

The previous prime is 10000013197. The next prime is 10000013239. The reversal of 10000013213 is 31231000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6040709284 + 3959303929 = 77722^2 + 62923^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000013213 - 2⁴ = 10000013197 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10000013194 and 10000013203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000013813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000006606 + 5000006607.

It is an arithmetic number, because the mean of its divisors is an integer number (5000006607).

Almost surely, 2^10000013213 is an apocalyptic number.

It is an amenable number.

10000013213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000013213 is an equidigital number, since it uses as much as digits as its factorization.

10000013213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10000013213 its reverse (31231000001), we get a palindrome (41231013214).

The spelling of 10000013213 in words is "ten billion, thirteen thousand, two hundred thirteen".