131306328 has 96 divisors (see below), whose sum is σ = 371779200. Its totient is φ = 41817600.

The previous prime is 131306327. The next prime is 131306347. The reversal of 131306328 is 823603131.

It is a happy number.

131306328 is a `hidden beast` number, since 1 + 31 + 306 + 328 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131306323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198318 + ... + 198978.

It is an arithmetic number, because the mean of its divisors is an integer number (3872700).

Almost surely, 2^131306328 is an apocalyptic number.

131306328 is a gapful number since it is divisible by the number (18) 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 131306328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185889600).

131306328 is an abundant number, since it is smaller than the sum of its proper divisors (240472872).

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

131306328 is a wasteful number, since it uses less digits than its factorization.

131306328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 131306328 is about 11458.8973291500. The cubic root of 131306328 is about 508.2708684211.

Adding to 131306328 its reverse (823603131), we get a palindrome (954909459).

The spelling of 131306328 in words is "one hundred thirty-one million, three hundred six thousand, three hundred twenty-eight".