2221302221113 has 2 divisors, whose sum is σ = 2221302221114. Its totient is φ = 2221302221112.

The previous prime is 2221302221111. The next prime is 2221302221153. The reversal of 2221302221113 is 3111222031222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2103784896249 + 117517324864 = 1450443^2 + 342808^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221302221113 - 2¹ = 2221302221111 is a prime.

Together with 2221302221111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2221302221111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110651110556 + 1110651110557.

It is an arithmetic number, because the mean of its divisors is an integer number (1110651110557).

Almost surely, 2^{2221302221113} is an apocalyptic number.

It is an amenable number.

2221302221113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221302221113 is an equidigital number, since it uses as much as digits as its factorization.

2221302221113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2221302221113 its reverse (3111222031222), we get a palindrome (5332524252335).

The spelling of 2221302221113 in words is "two trillion, two hundred twenty-one billion, three hundred two million, two hundred twenty-one thousand, one hundred thirteen".