3133320313 has 2 divisors, whose sum is σ = 3133320314. Its totient is φ = 3133320312.

The previous prime is 3133320227. The next prime is 3133320349. The reversal of 3133320313 is 3130233313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3061630224 + 71690089 = 55332^2 + 8467^2 .

It is an emirp because it is prime and its reverse (3130233313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3133320313 - 2²⁵ = 3099765881 is a prime.

It is not a weakly prime, because it can be changed into another prime (3133320413) 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, 1566660156 + 1566660157.

It is an arithmetic number, because the mean of its divisors is an integer number (1566660157).

Almost surely, 2^3133320313 is an apocalyptic number.

It is an amenable number.

3133320313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133320313 is an equidigital number, since it uses as much as digits as its factorization.

3133320313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 22.

The square root of 3133320313 is about 55976.0691099330. The cubic root of 3133320313 is about 1463.3052521955.

Adding to 3133320313 its reverse (3130233313), we get a palindrome (6263553626).

The spelling of 3133320313 in words is "three billion, one hundred thirty-three million, three hundred twenty thousand, three hundred thirteen".