82102133120128 has 32 divisors (see below), whose sum is σ = 178432192721520. Its totient is φ = 37319151417600.

The previous prime is 82102133120123. The next prime is 82102133120129.

82102133120128 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 82102133120093 and 82102133120102.

It is not an unprimeable number, because it can be changed into a prime (82102133120123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29155585638 + ... + 29155588453.

Almost surely, 2^{82102133120128} is an apocalyptic number.

82102133120128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82102133120128 is an abundant number, since it is smaller than the sum of its proper divisors (96330059601392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82102133120128 is a wasteful number, since it uses less digits than its factorization.

82102133120128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58311174116 (or 58311174104 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 82102133120128 in words is "eighty-two trillion, one hundred two billion, one hundred thirty-three million, one hundred twenty thousand, one hundred twenty-eight".