102605580013 has 2 divisors, whose sum is σ = 102605580014. Its totient is φ = 102605580012.

The previous prime is 102605579987. The next prime is 102605580041. The reversal of 102605580013 is 310085506201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59273745444 + 43331834569 = 243462^2 + 208163^2 .

It is an emirp because it is prime and its reverse (310085506201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102605580013 - 2¹³ = 102605571821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102609580013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51302790006 + 51302790007.

It is an arithmetic number, because the mean of its divisors is an integer number (51302790007).

Almost surely, 2^102605580013 is an apocalyptic number.

It is an amenable number.

102605580013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102605580013 is an equidigital number, since it uses as much as digits as its factorization.

102605580013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 102605580013 in words is "one hundred two billion, six hundred five million, five hundred eighty thousand, thirteen".