82122710313 has 16 divisors (see below), whose sum is σ = 129454519680. Its totient is φ = 45309081216.

The previous prime is 82122710311. The next prime is 82122710317. The reversal of 82122710313 is 31301722128.

It is not a de Polignac number, because 82122710313 - 2¹ = 82122710311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82122710311) 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 in 15 ways as a sum of consecutive naturals, for example, 67423620 + ... + 67424837.

It is an arithmetic number, because the mean of its divisors is an integer number (8090907480).

Almost surely, 2^82122710313 is an apocalyptic number.

It is an amenable number.

82122710313 is a deficient number, since it is larger than the sum of its proper divisors (47331809367).

82122710313 is a wasteful number, since it uses less digits than its factorization.

82122710313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134848496.

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 82122710313 in words is "eighty-two billion, one hundred twenty-two million, seven hundred ten thousand, three hundred thirteen".