131166112 has 48 divisors (see below), whose sum is σ = 321959232. Its totient is φ = 51102720.

The previous prime is 131166109. The next prime is 131166127. The reversal of 131166112 is 211661131.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 24153 + ... + 29080.

It is an arithmetic number, because the mean of its divisors is an integer number (6707484).

Almost surely, 2^131166112 is an apocalyptic number.

It is an amenable number.

131166112 is an abundant number, since it is smaller than the sum of its proper divisors (190793120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131166112 is a wasteful number, since it uses less digits than its factorization.

131166112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53261 (or 53253 counting only the distinct ones).

The product of its digits is 216, while the sum is 22.

The square root of 131166112 is about 11452.7774797208. Note that the first 3 decimals coincide. The cubic root of 131166112 is about 508.0898842750.

It can be divided in two parts, 1 and 31166112, that added together give a palindrome (31166113).

The spelling of 131166112 in words is "one hundred thirty-one million, one hundred sixty-six thousand, one hundred twelve".