10217202013 has 2 divisors, whose sum is σ = 10217202014. Its totient is φ = 10217202012.

The previous prime is 10217201993. The next prime is 10217202067. The reversal of 10217202013 is 31020271201.

10217202013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8006133529 + 2211068484 = 89477^2 + 47022^2 .

It is an emirp because it is prime and its reverse (31020271201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10217202013 - 2¹³ = 10217193821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10217202613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5108601006 + 5108601007.

It is an arithmetic number, because the mean of its divisors is an integer number (5108601007).

Almost surely, 2^10217202013 is an apocalyptic number.

It is an amenable number.

10217202013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10217202013 is an equidigital number, since it uses as much as digits as its factorization.

10217202013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 10217202013 its reverse (31020271201), we get a palindrome (41237473214).

The spelling of 10217202013 in words is "ten billion, two hundred seventeen million, two hundred two thousand, thirteen".