131112 has 32 divisors (see below), whose sum is σ = 364800. Its totient is φ = 43632.

The previous prime is 131111. The next prime is 131113. The reversal of 131112 is 211131.

It is an interprime number because it is at equal distance from previous prime (131111) and next prime (131113).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 131094 and 131103.

It is not an unprimeable number, because it can be changed into a prime (131111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88 + ... + 519.

It is an arithmetic number, because the mean of its divisors is an integer number (11400).

2^{131112} is an apocalyptic number.

131112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131112 is an abundant number, since it is smaller than the sum of its proper divisors (233688).

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

131112 is a wasteful number, since it uses less digits than its factorization.

131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 612 counting only the distinct ones).

The product of its digits is 6, while the sum is 9.

The square root of 131112 is about 362.0939104708. The cubic root of 131112 is about 50.8020004586.

Adding to 131112 its reverse (211131), we get a palindrome (342243).

It can be divided in two parts, 131 and 112, that added together give a 5-th power (243 = 3^{5}).

The spelling of 131112 in words is "one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 607 1214 1821 2428 3642 4856 5463 7284 10926 14568 16389 21852 32778 43704 65556 131112

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