2002200022213 has 2 divisors, whose sum is σ = 2002200022214. Its totient is φ = 2002200022212.

The previous prime is 2002200022211. The next prime is 2002200022237. The reversal of 2002200022213 is 3122200022002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1644862680484 + 357337341729 = 1282522^2 + 597777^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002200022213 - 2¹ = 2002200022211 is a prime.

Together with 2002200022211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002200022211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001100011106 + 1001100011107.

It is an arithmetic number, because the mean of its divisors is an integer number (1001100011107).

Almost surely, 2^{2002200022213} is an apocalyptic number.

It is an amenable number.

2002200022213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002200022213 is an equidigital number, since it uses as much as digits as its factorization.

2002200022213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 2002200022213 its reverse (3122200022002), we get a palindrome (5124400044215).

The spelling of 2002200022213 in words is "two trillion, two billion, two hundred million, twenty-two thousand, two hundred thirteen".