82123841713 has 2 divisors, whose sum is σ = 82123841714. Its totient is φ = 82123841712.

The previous prime is 82123841711. The next prime is 82123841729. The reversal of 82123841713 is 31714832128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75216902049 + 6906939664 = 274257^2 + 83108^2 .

It is a cyclic number.

It is not a de Polignac number, because 82123841713 - 2¹ = 82123841711 is a prime.

Together with 82123841711, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (82123841711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41061920856 + 41061920857.

It is an arithmetic number, because the mean of its divisors is an integer number (41061920857).

Almost surely, 2^82123841713 is an apocalyptic number.

It is an amenable number.

82123841713 is a deficient number, since it is larger than the sum of its proper divisors (1).

82123841713 is an equidigital number, since it uses as much as digits as its factorization.

82123841713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 64512, while the sum is 40.

The spelling of 82123841713 in words is "eighty-two billion, one hundred twenty-three million, eight hundred forty-one thousand, seven hundred thirteen".