131507 has 2 divisors, whose sum is σ = 131508. Its totient is φ = 131506.

The previous prime is 131501. The next prime is 131519. The reversal of 131507 is 705131.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 131507 - 2⁸ = 131251 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131507.

It is not a weakly prime, because it can be changed into another prime (131501) 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 as a sum of consecutive naturals, namely, 65753 + 65754.

It is an arithmetic number, because the mean of its divisors is an integer number (65754).

2¹³¹⁵⁰⁷ is an apocalyptic number.

131507 is a deficient number, since it is larger than the sum of its proper divisors (1).

131507 is an equidigital number, since it uses as much as digits as its factorization.

131507 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 131507 is about 362.6389388910. The cubic root of 131507 is about 50.8529662287.

Adding to 131507 its reverse (705131), we get a palindrome (836638).

It can be divided in two parts, 13 and 1507, that multiplied together give a palindrome (19591).

The spelling of 131507 in words is "one hundred thirty-one thousand, five hundred seven".