102816013 has 2 divisors, whose sum is σ = 102816014. Its totient is φ = 102816012.

The previous prime is 102815981. The next prime is 102816031. The reversal of 102816013 is 310618201.

Together with next prime (102816031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98763844 + 4052169 = 9938^2 + 2013^2 .

It is an emirp because it is prime and its reverse (310618201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102816013 - 2⁵ = 102815981 is a prime.

It is a super-2 number, since 2×102816013² = 21142265058432338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102816083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51408006 + 51408007.

It is an arithmetic number, because the mean of its divisors is an integer number (51408007).

Almost surely, 2^102816013 is an apocalyptic number.

It is an amenable number.

102816013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102816013 is an equidigital number, since it uses as much as digits as its factorization.

102816013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 102816013 is about 10139.8231246901. The cubic root of 102816013 is about 468.4755390514.

It can be divided in two parts, 10281601 and 3, that multiplied together give a palindrome (30844803).

The spelling of 102816013 in words is "one hundred two million, eight hundred sixteen thousand, thirteen".