2022022233113 has 2 divisors, whose sum is σ = 2022022233114. Its totient is φ = 2022022233112.

The previous prime is 2022022233047. The next prime is 2022022233131. The reversal of 2022022233113 is 3113322202202.

Together with next prime (2022022233131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1390399439104 + 631622794009 = 1179152^2 + 794747^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022022233113 - 2²⁶ = 2021955124249 is a prime.

It is a super-2 number, since 2×2022022233113² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2022022230113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011011116556 + 1011011116557.

It is an arithmetic number, because the mean of its divisors is an integer number (1011011116557).

Almost surely, 2^{2022022233113} is an apocalyptic number.

It is an amenable number.

2022022233113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022022233113 is an equidigital number, since it uses as much as digits as its factorization.

2022022233113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2022022233113 its reverse (3113322202202), we get a palindrome (5135344435315).

The spelling of 2022022233113 in words is "two trillion, twenty-two billion, twenty-two million, two hundred thirty-three thousand, one hundred thirteen".