82167313131 has 12 divisors (see below), whose sum is σ = 118700757552. Its totient is φ = 54771452496.

The previous prime is 82167313061. The next prime is 82167313133. The reversal of 82167313131 is 13131376128.

It is not a de Polignac number, because 82167313131 - 2⁷ = 82167313003 is a prime.

It is a super-2 number, since 2×82167313131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82167313133) 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 11 ways as a sum of consecutive naturals, for example, 485436 + ... + 632441.

It is an arithmetic number, because the mean of its divisors is an integer number (9891729796).

Almost surely, 2^82167313131 is an apocalyptic number.

82167313131 is a deficient number, since it is larger than the sum of its proper divisors (36533444421).

82167313131 is a wasteful number, since it uses less digits than its factorization.

82167313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126050 (or 1126047 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

Adding to 82167313131 its reverse (13131376128), we get a palindrome (95298689259).

The spelling of 82167313131 in words is "eighty-two billion, one hundred sixty-seven million, three hundred thirteen thousand, one hundred thirty-one".