211113221031329 has 2 divisors, whose sum is σ = 211113221031330. Its totient is φ = 211113221031328.

The previous prime is 211113221031283. The next prime is 211113221031341. The reversal of 211113221031329 is 923130122311112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 149302177031329 + 61811044000000 = 12218927^2 + 7862000^2 .

It is a cyclic number.

It is not a de Polignac number, because 211113221031329 - 2⁴⁴ = 193521034986913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211113221031295 and 211113221031304.

It is not a weakly prime, because it can be changed into another prime (211113221031029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105556610515664 + 105556610515665.

It is an arithmetic number, because the mean of its divisors is an integer number (105556610515665).

Almost surely, 2^{211113221031329} is an apocalyptic number.

It is an amenable number.

211113221031329 is a deficient number, since it is larger than the sum of its proper divisors (1).

211113221031329 is an equidigital number, since it uses as much as digits as its factorization.

211113221031329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 211113221031329 in words is "two hundred eleven trillion, one hundred thirteen billion, two hundred twenty-one million, thirty-one thousand, three hundred twenty-nine".