135130013 has 2 divisors, whose sum is σ = 135130014. Its totient is φ = 135130012.

The previous prime is 135130003. The next prime is 135130027. The reversal of 135130013 is 310031531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129663769 + 5466244 = 11387^2 + 2338^2 .

It is a cyclic number.

It is not a de Polignac number, because 135130013 - 2⁶ = 135129949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135129973 and 135130000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135130003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67565006 + 67565007.

It is an arithmetic number, because the mean of its divisors is an integer number (67565007).

Almost surely, 2^135130013 is an apocalyptic number.

It is an amenable number.

135130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

135130013 is an equidigital number, since it uses as much as digits as its factorization.

135130013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 135130013 is about 11624.5435609318. The cubic root of 135130013 is about 513.1574119823.

Adding to 135130013 its reverse (310031531), we get a palindrome (445161544).

The spelling of 135130013 in words is "one hundred thirty-five million, one hundred thirty thousand, thirteen".