131287312 has 60 divisors (see below), whose sum is σ = 287553024. Its totient is φ = 57932160.

The previous prime is 131287291. The next prime is 131287319. The reversal of 131287312 is 213782131.

It is not an unprimeable number, because it can be changed into a prime (131287319) 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, 61137 + ... + 63247.

Almost surely, 2^131287312 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 131287312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143776512).

131287312 is an abundant number, since it is smaller than the sum of its proper divisors (156265712).

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

131287312 is a wasteful number, since it uses less digits than its factorization.

131287312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2149 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 131287312 is about 11458.0675508569. The cubic root of 131287312 is about 508.2463310268.

The spelling of 131287312 in words is "one hundred thirty-one million, two hundred eighty-seven thousand, three hundred twelve".