102205013 has 2 divisors, whose sum is σ = 102205014. Its totient is φ = 102205012.

The previous prime is 102205001. The next prime is 102205043. The reversal of 102205013 is 310502201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52896529 + 49308484 = 7273^2 + 7022^2 .

It is an emirp because it is prime and its reverse (310502201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102205013 - 2⁸ = 102204757 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102205043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51102506 + 51102507.

It is an arithmetic number, because the mean of its divisors is an integer number (51102507).

Almost surely, 2^102205013 is an apocalyptic number.

It is an amenable number.

102205013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102205013 is an equidigital number, since it uses as much as digits as its factorization.

102205013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 102205013 is about 10109.6494993645. The cubic root of 102205013 is about 467.5456986794.

Adding to 102205013 its reverse (310502201), we get a palindrome (412707214).

The spelling of 102205013 in words is "one hundred two million, two hundred five thousand, thirteen".