135413313 has 32 divisors (see below), whose sum is σ = 222969600. Its totient is φ = 72817920.

The previous prime is 135413293. The next prime is 135413339. The reversal of 135413313 is 313314531.

It is not a de Polignac number, because 135413313 - 2⁵ = 135413281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135413353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13623 + ... + 21363.

It is an arithmetic number, because the mean of its divisors is an integer number (6967800).

Almost surely, 2^135413313 is an apocalyptic number.

It is an amenable number.

135413313 is a deficient number, since it is larger than the sum of its proper divisors (87556287).

135413313 is an equidigital number, since it uses as much as digits as its factorization.

135413313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7782 (or 7768 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 135413313 is about 11636.7226056137. The cubic root of 135413313 is about 513.5157730776.

Adding to 135413313 its reverse (313314531), we get a palindrome (448727844).

The spelling of 135413313 in words is "one hundred thirty-five million, four hundred thirteen thousand, three hundred thirteen".