4135313221 has 24 divisors (see below), whose sum is σ = 4689812736. Its totient is φ = 3637782720.

The previous prime is 4135313213. The next prime is 4135313227. The reversal of 4135313221 is 1223135314.

It is a happy number.

It is not a de Polignac number, because 4135313221 - 2³ = 4135313213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135313227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1137076 + ... + 1140706.

It is an arithmetic number, because the mean of its divisors is an integer number (195408864).

Almost surely, 2^4135313221 is an apocalyptic number.

It is an amenable number.

4135313221 is a deficient number, since it is larger than the sum of its proper divisors (554499515).

4135313221 is a wasteful number, since it uses less digits than its factorization.

4135313221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973 (or 3960 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 4135313221 is about 64306.4010888496. The cubic root of 4135313221 is about 1605.1026187368.

Adding to 4135313221 its reverse (1223135314), we get a palindrome (5358448535).

The spelling of 4135313221 in words is "four billion, one hundred thirty-five million, three hundred thirteen thousand, two hundred twenty-one".