82013322331028 has 24 divisors (see below), whose sum is σ = 156814388744160. Its totient is φ = 37220806530720.

The previous prime is 82013322331007. The next prime is 82013322331033.

82013322331028 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82013322331028² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82013322330982 and 82013322331000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1449380063 + ... + 1449436646.

It is an arithmetic number, because the mean of its divisors is an integer number (6533932864340).

Almost surely, 2^{82013322331028} is an apocalyptic number.

It is an amenable number.

82013322331028 is a deficient number, since it is larger than the sum of its proper divisors (74801066413132).

82013322331028 is a wasteful number, since it uses less digits than its factorization.

82013322331028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898817367 (or 2898817365 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 82013322331028 in words is "eighty-two trillion, thirteen billion, three hundred twenty-two million, three hundred thirty-one thousand, twenty-eight".