2011220220133 has 2 divisors, whose sum is σ = 2011220220134. Its totient is φ = 2011220220132.

The previous prime is 2011220220047. The next prime is 2011220220157. The reversal of 2011220220133 is 3310220221102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1264504748004 + 746715472129 = 1124502^2 + 864127^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011220220133 - 2²¹ = 2011218122981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2011220220133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011220220193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005610110066 + 1005610110067.

It is an arithmetic number, because the mean of its divisors is an integer number (1005610110067).

Almost surely, 2^{2011220220133} is an apocalyptic number.

It is an amenable number.

2011220220133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011220220133 is an equidigital number, since it uses as much as digits as its factorization.

2011220220133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2011220220133 its reverse (3310220221102), we get a palindrome (5321440441235).

The spelling of 2011220220133 in words is "two trillion, eleven billion, two hundred twenty million, two hundred twenty thousand, one hundred thirty-three".