135340313 has 2 divisors, whose sum is σ = 135340314. Its totient is φ = 135340312.

The previous prime is 135340279. The next prime is 135340319. The reversal of 135340313 is 313043531.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90878089 + 44462224 = 9533^2 + 6668^2 .

It is a cyclic number.

It is not a de Polignac number, because 135340313 - 2¹⁰ = 135339289 is a prime.

It is not a weakly prime, because it can be changed into another prime (135340319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67670156 + 67670157.

It is an arithmetic number, because the mean of its divisors is an integer number (67670157).

Almost surely, 2^135340313 is an apocalyptic number.

It is an amenable number.

135340313 is a deficient number, since it is larger than the sum of its proper divisors (1).

135340313 is an equidigital number, since it uses as much as digits as its factorization.

135340313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 135340313 is about 11633.5855607805. The cubic root of 135340313 is about 513.4234793711.

Adding to 135340313 its reverse (313043531), we get a palindrome (448383844).

The spelling of 135340313 in words is "one hundred thirty-five million, three hundred forty thousand, three hundred thirteen".