82133333333128 has 128 divisors (see below), whose sum is σ = 193986615398400. Its totient is φ = 31669490764800.

The previous prime is 82133333333099. The next prime is 82133333333137.

82133333333128 is nontrivially palindromic in base 10.

It is an unprimeable number.

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, 65887713 + ... + 67122703.

It is an arithmetic number, because the mean of its divisors is an integer number (1515520432800).

Almost surely, 2^{82133333333128} is an apocalyptic number.

82133333333128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82133333333128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96993307699200).

82133333333128 is an abundant number, since it is smaller than the sum of its proper divisors (111853282065272).

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

82133333333128 is a wasteful number, since it uses less digits than its factorization.

82133333333128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236131 (or 1236127 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 46.

The spelling of 82133333333128 in words is "eighty-two trillion, one hundred thirty-three billion, three hundred thirty-three million, three hundred thirty-three thousand, one hundred twenty-eight".