2202133313 has 2 divisors, whose sum is σ = 2202133314. Its totient is φ = 2202133312.

The previous prime is 2202133289. The next prime is 2202133327. The reversal of 2202133313 is 3133312022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1314570049 + 887563264 = 36257^2 + 29792^2 .

It is a cyclic number.

It is not a de Polignac number, because 2202133313 - 2⁸ = 2202133057 is a prime.

It is a super-2 number, since 2×2202133313² = 9698782256448711938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2202133393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1101066656 + 1101066657.

It is an arithmetic number, because the mean of its divisors is an integer number (1101066657).

Almost surely, 2^2202133313 is an apocalyptic number.

It is an amenable number.

2202133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202133313 is an equidigital number, since it uses as much as digits as its factorization.

2202133313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 2202133313 is about 46926.8932809322. The cubic root of 2202133313 is about 1301.0117002305.

Adding to 2202133313 its reverse (3133312022), we get a palindrome (5335445335).

The spelling of 2202133313 in words is "two billion, two hundred two million, one hundred thirty-three thousand, three hundred thirteen".