82133464101 has 24 divisors (see below), whose sum is σ = 118677022560. Its totient is φ = 50503692096.

The previous prime is 82133464067. The next prime is 82133464139. The reversal of 82133464101 is 10146433128.

It is not a de Polignac number, because 82133464101 - 2¹⁴ = 82133447717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82133464141) 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 23 ways as a sum of consecutive naturals, for example, 584010 + ... + 710868.

It is an arithmetic number, because the mean of its divisors is an integer number (4944875940).

Almost surely, 2^82133464101 is an apocalyptic number.

It is an amenable number.

82133464101 is a deficient number, since it is larger than the sum of its proper divisors (36543558459).

82133464101 is a wasteful number, since it uses less digits than its factorization.

82133464101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128165 (or 128152 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 82133464101 its reverse (10146433128), we get a palindrome (92279897229).

The spelling of 82133464101 in words is "eighty-two billion, one hundred thirty-three million, four hundred sixty-four thousand, one hundred one".