4135313 has 16 divisors (see below), whose sum is σ = 5268480. Its totient is φ = 3157056.

The previous prime is 4135303. The next prime is 4135343. The reversal of 4135313 is 3135314.

It is a happy number.

It is not a de Polignac number, because 4135313 - 2⁴ = 4135297 is a prime.

It is a super-3 number, since 3×4135313³ (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4135303) 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, 1856 + ... + 3422.

It is an arithmetic number, because the mean of its divisors is an integer number (329280).

Almost surely, 2^4135313 is an apocalyptic number.

It is an amenable number.

4135313 is a deficient number, since it is larger than the sum of its proper divisors (1133167).

4135313 is a wasteful number, since it uses less digits than its factorization.

4135313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616.

The product of its digits is 540, while the sum is 20.

The square root of 4135313 is about 2033.5469013524. The cubic root of 4135313 is about 160.5102590143.

Subtracting from 4135313 its reverse (3135314), we obtain a palindrome (999999).

The spelling of 4135313 in words is "four million, one hundred thirty-five thousand, three hundred thirteen".