82120131 has 12 divisors (see below), whose sum is σ = 121824352. Its totient is φ = 53266896.

The previous prime is 82120127. The next prime is 82120163. The reversal of 82120131 is 13102128.

It is not a de Polignac number, because 82120131 - 2² = 82120127 is a prime.

It is a super-2 number, since 2×82120131² = 13487431830914322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82120111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122971 + ... + 123636.

Almost surely, 2^82120131 is an apocalyptic number.

82120131 is a deficient number, since it is larger than the sum of its proper divisors (39704221).

82120131 is a wasteful number, since it uses less digits than its factorization.

82120131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246650 (or 246647 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 82120131 is about 9062.0158353426. The cubic root of 82120131 is about 434.6602023354.

Adding to 82120131 its reverse (13102128), we get a palindrome (95222259).

The spelling of 82120131 in words is "eighty-two million, one hundred twenty thousand, one hundred thirty-one".