2221333313 has 2 divisors, whose sum is σ = 2221333314. Its totient is φ = 2221333312.

The previous prime is 2221333291. The next prime is 2221333327. The reversal of 2221333313 is 3133331222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2152310449 + 69022864 = 46393^2 + 8308^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221333313 - 2⁶ = 2221333249 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221333393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110666656 + 1110666657.

It is an arithmetic number, because the mean of its divisors is an integer number (1110666657).

Almost surely, 2^2221333313 is an apocalyptic number.

It is an amenable number.

2221333313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221333313 is an equidigital number, since it uses as much as digits as its factorization.

2221333313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 23.

The square root of 2221333313 is about 47131.0228299790. The cubic root of 2221333313 is about 1304.7818590867.

Adding to 2221333313 its reverse (3133331222), we get a palindrome (5354664535).

The spelling of 2221333313 in words is "two billion, two hundred twenty-one million, three hundred thirty-three thousand, three hundred thirteen".