135313013 has 16 divisors (see below), whose sum is σ = 156873024. Its totient is φ = 115349760.

The previous prime is 135313001. The next prime is 135313027. The reversal of 135313013 is 310313531.

It is not a de Polignac number, because 135313013 - 2¹⁰ = 135311989 is a prime.

It is a super-2 number, since 2×135313013² = 36619222974276338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135313313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56231 + ... + 58587.

It is an arithmetic number, because the mean of its divisors is an integer number (9804564).

Almost surely, 2^135313013 is an apocalyptic number.

It is an amenable number.

135313013 is a deficient number, since it is larger than the sum of its proper divisors (21560011).

135313013 is a wasteful number, since it uses less digits than its factorization.

135313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692.

The product of its (nonzero) digits is 405, while the sum is 20.

The square root of 135313013 is about 11632.4121746094. The cubic root of 135313013 is about 513.3889555272.

Adding to 135313013 its reverse (310313531), we get a palindrome (445626544).

The spelling of 135313013 in words is "one hundred thirty-five million, three hundred thirteen thousand, thirteen".