2210222133113 has 2 divisors, whose sum is σ = 2210222133114. Its totient is φ = 2210222133112.

The previous prime is 2210222133083. The next prime is 2210222133121. The reversal of 2210222133113 is 3113312220122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1250700012409 + 959522120704 = 1118347^2 + 979552^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210222133113 - 2¹⁰ = 2210222132089 is a prime.

It is not a weakly prime, because it can be changed into another prime (2210222136113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105111066556 + 1105111066557.

It is an arithmetic number, because the mean of its divisors is an integer number (1105111066557).

Almost surely, 2^{2210222133113} is an apocalyptic number.

It is an amenable number.

2210222133113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210222133113 is an equidigital number, since it uses as much as digits as its factorization.

2210222133113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2210222133113 its reverse (3113312220122), we get a palindrome (5323534353235).

The spelling of 2210222133113 in words is "two trillion, two hundred ten billion, two hundred twenty-two million, one hundred thirty-three thousand, one hundred thirteen".