220100222032133 has 2 divisors, whose sum is σ = 220100222032134. Its totient is φ = 220100222032132.

The previous prime is 220100222032109. The next prime is 220100222032153. The reversal of 220100222032133 is 331230222001022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211012752533284 + 9087469498849 = 14526278^2 + 3014543^2 .

It is a cyclic number.

It is not a de Polignac number, because 220100222032133 - 2¹⁴ = 220100222015749 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220100222032099 and 220100222032108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220100222032153) 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, 110050111016066 + 110050111016067.

It is an arithmetic number, because the mean of its divisors is an integer number (110050111016067).

Almost surely, 2^{220100222032133} is an apocalyptic number.

It is an amenable number.

220100222032133 is a deficient number, since it is larger than the sum of its proper divisors (1).

220100222032133 is an equidigital number, since it uses as much as digits as its factorization.

220100222032133 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 220100222032133 its reverse (331230222001022), we get a palindrome (551330444033155).

The spelling of 220100222032133 in words is "two hundred twenty trillion, one hundred billion, two hundred twenty-two million, thirty-two thousand, one hundred thirty-three".