135110313 has 12 divisors (see below), whose sum is σ = 210171780. Its totient is φ = 83144736.

The previous prime is 135110279. The next prime is 135110323. The reversal of 135110313 is 313011531.

135110313 is a `hidden beast` number, since 1 + 351 + 1 + 0 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47444544 + 87665769 = 6888^2 + 9363^2 .

It is not a de Polignac number, because 135110313 - 2⁸ = 135110057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135110323) 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 in 11 ways as a sum of consecutive naturals, for example, 577278 + ... + 577511.

It is an arithmetic number, because the mean of its divisors is an integer number (17514315).

Almost surely, 2^135110313 is an apocalyptic number.

135110313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135110313 is a deficient number, since it is larger than the sum of its proper divisors (75061467).

135110313 is a wasteful number, since it uses less digits than its factorization.

135110313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154808 (or 1154805 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 135110313 is about 11623.6961849491. The cubic root of 135110313 is about 513.1324737960.

Adding to 135110313 its reverse (313011531), we get a palindrome (448121844).

It can be divided in two parts, 1351 and 10313, that added together give a square (11664 = 108²).

The spelling of 135110313 in words is "one hundred thirty-five million, one hundred ten thousand, three hundred thirteen".