82134606113 has 32 divisors (see below), whose sum is σ = 104595701760. Its totient is φ = 62920630080.

The previous prime is 82134606109. The next prime is 82134606137. The reversal of 82134606113 is 31160643128.

It is not a de Polignac number, because 82134606113 - 2² = 82134606109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82134606013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138995 + ... + 428472.

It is an arithmetic number, because the mean of its divisors is an integer number (3268615680).

Almost surely, 2^82134606113 is an apocalyptic number.

It is an amenable number.

82134606113 is a deficient number, since it is larger than the sum of its proper divisors (22461095647).

82134606113 is a wasteful number, since it uses less digits than its factorization.

82134606113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567557.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 82134606113 in words is "eighty-two billion, one hundred thirty-four million, six hundred six thousand, one hundred thirteen".