102812113 has 2 divisors, whose sum is σ = 102812114. Its totient is φ = 102812112.

The previous prime is 102812057. The next prime is 102812117. The reversal of 102812113 is 311218201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69772609 + 33039504 = 8353^2 + 5748^2 .

It is a cyclic number.

It is not a de Polignac number, because 102812113 - 2⁹ = 102811601 is a prime.

It is not a weakly prime, because it can be changed into another prime (102812117) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51406056 + 51406057.

It is an arithmetic number, because the mean of its divisors is an integer number (51406057).

Almost surely, 2^102812113 is an apocalyptic number.

It is an amenable number.

102812113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102812113 is an equidigital number, since it uses as much as digits as its factorization.

102812113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 102812113 is about 10139.6308118195. The cubic root of 102812113 is about 468.4696155976.

The spelling of 102812113 in words is "one hundred two million, eight hundred twelve thousand, one hundred thirteen".