135321313 has 2 divisors, whose sum is σ = 135321314. Its totient is φ = 135321312.

The previous prime is 135321299. The next prime is 135321317. The reversal of 135321313 is 313123531.

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., 68359824 + 66961489 = 8268^2 + 8183^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-135321313 is a prime.

It is not a weakly prime, because it can be changed into another prime (135321317) 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, 67660656 + 67660657.

It is an arithmetic number, because the mean of its divisors is an integer number (67660657).

Almost surely, 2^135321313 is an apocalyptic number.

It is an amenable number.

135321313 is a deficient number, since it is larger than the sum of its proper divisors (1).

135321313 is an equidigital number, since it uses as much as digits as its factorization.

135321313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 810, while the sum is 22.

The square root of 135321313 is about 11632.7689309124. The cubic root of 135321313 is about 513.3994522786.

Adding to 135321313 its reverse (313123531), we get a palindrome (448444844).

The spelling of 135321313 in words is "one hundred thirty-five million, three hundred twenty-one thousand, three hundred thirteen".