3313131313 has 4 divisors (see below), whose sum is σ = 3313309428. Its totient is φ = 3312953200.

The previous prime is 3313131287. The next prime is 3313131319. The reversal of 3313131313 is 3131313133.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1451381409 + 1861749904 = 38097^2 + 43148^2 .

It is a cyclic number.

It is not a de Polignac number, because 3313131313 - 2⁵ = 3313131281 is a prime.

It is a super-2 number, since 2×3313131313² = 21953678194362207938, which contains 22 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3313131319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57406 + ... + 99607.

It is an arithmetic number, because the mean of its divisors is an integer number (828327357).

Almost surely, 2^3313131313 is an apocalyptic number.

It is an amenable number.

3313131313 is a deficient number, since it is larger than the sum of its proper divisors (178115).

3313131313 is a wasteful number, since it uses less digits than its factorization.

3313131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178114.

The product of its digits is 729, while the sum is 22.

The square root of 3313131313 is about 57559.8064016897. The cubic root of 3313131313 is about 1490.7776840544. Note that the first 3 decimals are identical.

Adding to 3313131313 its reverse (3131313133), we get a palindrome (6444444446).

It can be divided in two parts, 3 and 313131313, that multiplied together give a palindrome (939393939).

The spelling of 3313131313 in words is "three billion, three hundred thirteen million, one hundred thirty-one thousand, three hundred thirteen".