131100112 has 60 divisors (see below), whose sum is σ = 300731620. Its totient is φ = 54996480.

The previous prime is 131100103. The next prime is 131100113. The reversal of 131100112 is 211001131.

It can be written as a sum of positive squares in 2 ways, for example, as 82156096 + 48944016 = 9064^2 + 6996^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131100113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22564 + ... + 27772.

Almost surely, 2^131100112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150365810).

131100112 is an abundant number, since it is smaller than the sum of its proper divisors (169631508).

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

131100112 is a wasteful number, since it uses less digits than its factorization.

131100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5252 (or 5235 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 131100112 is about 11449.8957200492. The cubic root of 131100112 is about 508.0046499667.

Adding to 131100112 its reverse (211001131), we get a palindrome (342101243).

It can be divided in two parts, 1 and 31100112, that added together give a palindrome (31100113).

The spelling of 131100112 in words is "one hundred thirty-one million, one hundred thousand, one hundred twelve".