211131303330289 has 2 divisors, whose sum is σ = 211131303330290. Its totient is φ = 211131303330288.

The previous prime is 211131303330197. The next prime is 211131303330323. The reversal of 211131303330289 is 982033303131112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211128310365025 + 2992965264 = 14530255^2 + 54708^2 .

It is a cyclic number.

It is not a de Polignac number, because 211131303330289 - 2¹³ = 211131303322097 is a prime.

It is not a weakly prime, because it can be changed into another prime (211131303130289) 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, 105565651665144 + 105565651665145.

It is an arithmetic number, because the mean of its divisors is an integer number (105565651665145).

Almost surely, 2^{211131303330289} is an apocalyptic number.

It is an amenable number.

211131303330289 is a deficient number, since it is larger than the sum of its proper divisors (1).

211131303330289 is an equidigital number, since it uses as much as digits as its factorization.

211131303330289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 40.

The spelling of 211131303330289 in words is "two hundred eleven trillion, one hundred thirty-one billion, three hundred three million, three hundred thirty thousand, two hundred eighty-nine".