131111112 has 64 divisors (see below), whose sum is σ = 366327360. Its totient is φ = 38758400.

The previous prime is 131111111. The next prime is 131111119. The reversal of 131111112 is 211111131.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 not an unprimeable number, because it can be changed into a prime (131111111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4768 + ... + 16880.

It is an arithmetic number, because the mean of its divisors is an integer number (5723865).

Almost surely, 2^131111112 is an apocalyptic number.

131111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183163680).

131111112 is an abundant number, since it is smaller than the sum of its proper divisors (235216248).

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

131111112 is a wasteful number, since it uses less digits than its factorization.

131111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12174 (or 12170 counting only the distinct ones).

The product of its digits is 6, while the sum is 12.

The square root of 131111112 is about 11450.3760636933. The cubic root of 131111112 is about 508.0188576710.

Adding to 131111112 its reverse (211111131), we get a palindrome (342222243).

It can be divided in two parts, 1 and 31111112, that added together give a palindrome (31111113).

The spelling of 131111112 in words is "one hundred thirty-one million, one hundred eleven thousand, one hundred twelve".