135507313 has 2 divisors, whose sum is σ = 135507314. Its totient is φ = 135507312.

The previous prime is 135507301. The next prime is 135507341. The reversal of 135507313 is 313705531.

It is an a-pointer prime, because the next prime (135507341) can be obtained adding 135507313 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121616784 + 13890529 = 11028^2 + 3727^2 .

It is a cyclic number.

It is not a de Polignac number, because 135507313 - 2¹³ = 135499121 is a prime.

It is not a weakly prime, because it can be changed into another prime (135507353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67753656 + 67753657.

It is an arithmetic number, because the mean of its divisors is an integer number (67753657).

Almost surely, 2^135507313 is an apocalyptic number.

It is an amenable number.

135507313 is a deficient number, since it is larger than the sum of its proper divisors (1).

135507313 is an equidigital number, since it uses as much as digits as its factorization.

135507313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4725, while the sum is 28.

The square root of 135507313 is about 11640.7608428315. The cubic root of 135507313 is about 513.6345681861.

The spelling of 135507313 in words is "one hundred thirty-five million, five hundred seven thousand, three hundred thirteen".