135513540313 has 4 divisors (see below), whose sum is σ = 135619660260. Its totient is φ = 135407420368.

The previous prime is 135513540307. The next prime is 135513540469. The reversal of 135513540313 is 313045315531.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 112498526464 + 23015013849 = 335408^2 + 151707^2 .

It is a cyclic number.

It is not a de Polignac number, because 135513540313 - 2⁹ = 135513539801 is a prime.

It is a super-2 number, since 2×135513540313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135513510313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53058058 + ... + 53060611.

It is an arithmetic number, because the mean of its divisors is an integer number (33904915065).

Almost surely, 2^135513540313 is an apocalyptic number.

It is an amenable number.

135513540313 is a deficient number, since it is larger than the sum of its proper divisors (106119947).

135513540313 is a wasteful number, since it uses less digits than its factorization.

135513540313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106119946.

The product of its (nonzero) digits is 40500, while the sum is 34.

Adding to 135513540313 its reverse (313045315531), we get a palindrome (448558855844).

The spelling of 135513540313 in words is "one hundred thirty-five billion, five hundred thirteen million, five hundred forty thousand, three hundred thirteen".