135131 has 2 divisors, whose sum is σ = 135132. Its totient is φ = 135130.

The previous prime is 135119. The next prime is 135151. The reversal of 135131 is 131531.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 135131 - 2¹⁴ = 118747 is a prime.

It is a super-2 number, since 2×135131² = 36520774322, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (135101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67565 + 67566.

It is an arithmetic number, because the mean of its divisors is an integer number (67566).

2¹³⁵¹³¹ is an apocalyptic number.

135131 is a deficient number, since it is larger than the sum of its proper divisors (1).

135131 is an equidigital number, since it uses as much as digits as its factorization.

135131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45, while the sum is 14.

The square root of 135131 is about 367.6016866120. The cubic root of 135131 is about 51.3158661360.

Adding to 135131 its reverse (131531), we get a palindrome (266662).

Subtracting from 135131 its reverse (131531), we obtain a square (3600 = 60²).

The spelling of 135131 in words is "one hundred thirty-five thousand, one hundred thirty-one".