211404333241313 has 2 divisors, whose sum is σ = 211404333241314. Its totient is φ = 211404333241312.

The previous prime is 211404333241261. The next prime is 211404333241373. The reversal of 211404333241313 is 313142333404112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 188553323286784 + 22851009954529 = 13731472^2 + 4780273^2 .

It is a cyclic number.

It is not a de Polignac number, because 211404333241313 - 2²⁰ = 211404332192737 is a prime.

It is a super-2 number, since 2×211404333241313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211404333241373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105702166620656 + 105702166620657.

It is an arithmetic number, because the mean of its divisors is an integer number (105702166620657).

Almost surely, 2^{211404333241313} is an apocalyptic number.

It is an amenable number.

211404333241313 is a deficient number, since it is larger than the sum of its proper divisors (1).

211404333241313 is an equidigital number, since it uses as much as digits as its factorization.

211404333241313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 62208, while the sum is 35.

Adding to 211404333241313 its reverse (313142333404112), we get a palindrome (524546666645425).

The spelling of 211404333241313 in words is "two hundred eleven trillion, four hundred four billion, three hundred thirty-three million, two hundred forty-one thousand, three hundred thirteen".