135132310513 has 2 divisors, whose sum is σ = 135132310514. Its totient is φ = 135132310512.

The previous prime is 135132310487. The next prime is 135132310553. The reversal of 135132310513 is 315013231531.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102923547489 + 32208763024 = 320817^2 + 179468^2 .

It is a cyclic number.

It is not a de Polignac number, because 135132310513 - 2²⁵ = 135098756081 is a prime.

It is not a weakly prime, because it can be changed into another prime (135132310553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67566155256 + 67566155257.

It is an arithmetic number, because the mean of its divisors is an integer number (67566155257).

Almost surely, 2^135132310513 is an apocalyptic number.

It is an amenable number.

135132310513 is a deficient number, since it is larger than the sum of its proper divisors (1).

135132310513 is an equidigital number, since it uses as much as digits as its factorization.

135132310513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4050, while the sum is 28.

The spelling of 135132310513 in words is "one hundred thirty-five billion, one hundred thirty-two million, three hundred ten thousand, five hundred thirteen".