4133613313 has 2 divisors, whose sum is σ = 4133613314. Its totient is φ = 4133613312.

The previous prime is 4133613311. The next prime is 4133613331. The reversal of 4133613313 is 3133163314.

It is a happy number.

Together with next prime (4133613331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3179606544 + 954006769 = 56388^2 + 30887^2 .

It is a cyclic number.

It is not a de Polignac number, because 4133613313 - 2¹ = 4133613311 is a prime.

Together with 4133613311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4133613311) 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 as a sum of consecutive naturals, namely, 2066806656 + 2066806657.

It is an arithmetic number, because the mean of its divisors is an integer number (2066806657).

Almost surely, 2^4133613313 is an apocalyptic number.

It is an amenable number.

4133613313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4133613313 is an equidigital number, since it uses as much as digits as its factorization.

4133613313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 28.

The square root of 4133613313 is about 64293.1824768381. The cubic root of 4133613313 is about 1604.8826514618.

Adding to 4133613313 its reverse (3133163314), we get a palindrome (7266776627).

The spelling of 4133613313 in words is "four billion, one hundred thirty-three million, six hundred thirteen thousand, three hundred thirteen".