211404310321 has 2 divisors, whose sum is σ = 211404310322. Its totient is φ = 211404310320.

The previous prime is 211404310297. The next prime is 211404310343. The reversal of 211404310321 is 123013404112.

211404310321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (211404310343) can be obtained adding 211404310321 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 175091196721 + 36313113600 = 418439^2 + 190560^2 .

It is a cyclic number.

It is not a de Polignac number, because 211404310321 - 2²⁵ = 211370755889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211404310292 and 211404310301.

It is not a weakly prime, because it can be changed into another prime (211404310921) 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, 105702155160 + 105702155161.

It is an arithmetic number, because the mean of its divisors is an integer number (105702155161).

Almost surely, 2^211404310321 is an apocalyptic number.

It is an amenable number.

211404310321 is a deficient number, since it is larger than the sum of its proper divisors (1).

211404310321 is an equidigital number, since it uses as much as digits as its factorization.

211404310321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 211404310321 its reverse (123013404112), we get a palindrome (334417714433).

The spelling of 211404310321 in words is "two hundred eleven billion, four hundred four million, three hundred ten thousand, three hundred twenty-one".