211333022223313 has 2 divisors, whose sum is σ = 211333022223314. Its totient is φ = 211333022223312.

The previous prime is 211333022223311. The next prime is 211333022223331. The reversal of 211333022223313 is 313322220333112.

Together with next prime (211333022223331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120848181651409 + 90484840571904 = 10993097^2 + 9512352^2 .

It is a cyclic number.

It is not a de Polignac number, because 211333022223313 - 2¹ = 211333022223311 is a prime.

Together with 211333022223311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (211333022223311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105666511111656 + 105666511111657.

It is an arithmetic number, because the mean of its divisors is an integer number (105666511111657).

Almost surely, 2^{211333022223313} is an apocalyptic number.

It is an amenable number.

211333022223313 is a deficient number, since it is larger than the sum of its proper divisors (1).

211333022223313 is an equidigital number, since it uses as much as digits as its factorization.

211333022223313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 211333022223313 its reverse (313322220333112), we get a palindrome (524655242556425).

The spelling of 211333022223313 in words is "two hundred eleven trillion, three hundred thirty-three billion, twenty-two million, two hundred twenty-three thousand, three hundred thirteen".