4133213313 has 16 divisors (see below), whose sum is σ = 5702659200. Its totient is φ = 2659677440.

The previous prime is 4133213297. The next prime is 4133213327. The reversal of 4133213313 is 3133123314.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4133213313 - 2⁴ = 4133213297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4133213113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507433 + ... + 515513.

It is an arithmetic number, because the mean of its divisors is an integer number (356416200).

Almost surely, 2^4133213313 is an apocalyptic number.

It is an amenable number.

4133213313 is a deficient number, since it is larger than the sum of its proper divisors (1569445887).

4133213313 is a wasteful number, since it uses less digits than its factorization.

4133213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13992.

The product of its digits is 1944, while the sum is 24.

The square root of 4133213313 is about 64290.0716518499. The cubic root of 4133213313 is about 1604.8308828904.

Adding to 4133213313 its reverse (3133123314), we get a palindrome (7266336627).

It can be divided in two parts, 41332 and 13313, that added together give a palindrome (54645).

The spelling of 4133213313 in words is "four billion, one hundred thirty-three million, two hundred thirteen thousand, three hundred thirteen".