131810112 has 224 divisors, whose sum is σ = 469635840. Its totient is φ = 35389440.

The previous prime is 131810101. The next prime is 131810117. The reversal of 131810112 is 211018131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131810117) 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 31 ways as a sum of consecutive naturals, for example, 205312 + ... + 205952.

Almost surely, 2^131810112 is an apocalyptic number.

131810112 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 131810112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234817920).

131810112 is an abundant number, since it is smaller than the sum of its proper divisors (337825728).

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

131810112 is a wasteful number, since it uses less digits than its factorization.

131810112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 131810112 is about 11480.8585044848. The cubic root of 131810112 is about 508.9200677835.

Adding to 131810112 its reverse (211018131), we get a palindrome (342828243).

The spelling of 131810112 in words is "one hundred thirty-one million, eight hundred ten thousand, one hundred twelve".