11205353224213 has 2 divisors, whose sum is σ = 11205353224214. Its totient is φ = 11205353224212.

The previous prime is 11205353224193. The next prime is 11205353224267. The reversal of 11205353224213 is 31242235350211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9395408127249 + 1809945096964 = 3065193^2 + 1345342^2 .

It is a cyclic number.

It is not a de Polignac number, because 11205353224213 - 2¹³ = 11205353216021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11205353234213) 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, 5602676612106 + 5602676612107.

It is an arithmetic number, because the mean of its divisors is an integer number (5602676612107).

Almost surely, 2^{11205353224213} is an apocalyptic number.

It is an amenable number.

11205353224213 is a deficient number, since it is larger than the sum of its proper divisors (1).

11205353224213 is an equidigital number, since it uses as much as digits as its factorization.

11205353224213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 11205353224213 its reverse (31242235350211), we get a palindrome (42447588574424).

The spelling of 11205353224213 in words is "eleven trillion, two hundred five billion, three hundred fifty-three million, two hundred twenty-four thousand, two hundred thirteen".