82330211133 has 64 divisors (see below), whose sum is σ = 129680179200. Its totient is φ = 51477431040.

The previous prime is 82330211129. The next prime is 82330211141. The reversal of 82330211133 is 33111203328.

It is not a de Polignac number, because 82330211133 - 2² = 82330211129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 82330211097 and 82330211106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82330211123) 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 63 ways as a sum of consecutive naturals, for example, 38633478 + ... + 38635608.

It is an arithmetic number, because the mean of its divisors is an integer number (2026252800).

Almost surely, 2^82330211133 is an apocalyptic number.

It is an amenable number.

82330211133 is a deficient number, since it is larger than the sum of its proper divisors (47349968067).

82330211133 is a wasteful number, since it uses less digits than its factorization.

82330211133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 82330211133 in words is "eighty-two billion, three hundred thirty million, two hundred eleven thousand, one hundred thirty-three".