131307 has 16 divisors (see below), whose sum is σ = 200448. Its totient is φ = 75680.

The previous prime is 131303. The next prime is 131311. The reversal of 131307 is 703131.

It is an interprime number because it is at equal distance from previous prime (131303) and next prime (131311).

It is not a de Polignac number, because 131307 - 2² = 131303 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131307.

It is not an unprimeable number, because it can be changed into a prime (131303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673 + ... + 845.

It is an arithmetic number, because the mean of its divisors is an integer number (12528).

2¹³¹³⁰⁷ is an apocalyptic number.

131307 is a deficient number, since it is larger than the sum of its proper divisors (69141).

131307 is a wasteful number, since it uses less digits than its factorization.

131307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210.

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 131307 is about 362.3630775893. The cubic root of 131307 is about 50.8271735496.

Adding to 131307 its reverse (703131), we get a palindrome (834438).

The spelling of 131307 in words is "one hundred thirty-one thousand, three hundred seven".