220221112012133 has 2 divisors, whose sum is σ = 220221112012134. Its totient is φ = 220221112012132.

The previous prime is 220221112012091. The next prime is 220221112012151. The reversal of 220221112012133 is 331210211122022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217461533216929 + 2759578795204 = 14746577^2 + 1661198^2 .

It is a cyclic number.

It is not a de Polignac number, because 220221112012133 - 2¹⁴ = 220221111995749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220221112012099 and 220221112012108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220221112011133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110110556006066 + 110110556006067.

It is an arithmetic number, because the mean of its divisors is an integer number (110110556006067).

Almost surely, 2^{220221112012133} is an apocalyptic number.

It is an amenable number.

220221112012133 is a deficient number, since it is larger than the sum of its proper divisors (1).

220221112012133 is an equidigital number, since it uses as much as digits as its factorization.

220221112012133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 220221112012133 its reverse (331210211122022), we get a palindrome (551431323134155).

The spelling of 220221112012133 in words is "two hundred twenty trillion, two hundred twenty-one billion, one hundred twelve million, twelve thousand, one hundred thirty-three".