135311 has 4 divisors (see below), whose sum is σ = 147624. Its totient is φ = 123000.

The previous prime is 135301. The next prime is 135319. The reversal of 135311 is 113531.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 113531 = 11 ⋅10321.

It is a cyclic number.

It is not a de Polignac number, because 135311 - 2¹⁰ = 134287 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135319) 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 3 ways as a sum of consecutive naturals, for example, 6140 + ... + 6161.

It is an arithmetic number, because the mean of its divisors is an integer number (36906).

2¹³⁵³¹¹ is an apocalyptic number.

135311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135311 is a deficient number, since it is larger than the sum of its proper divisors (12313).

135311 is a wasteful number, since it uses less digits than its factorization.

135311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12312.

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

The square root of 135311 is about 367.8464353504. The cubic root of 135311 is about 51.3386409684.

Adding to 135311 its reverse (113531), we get a palindrome (248842).

The spelling of 135311 in words is "one hundred thirty-five thousand, three hundred eleven".