11133120821 has 2 divisors, whose sum is σ = 11133120822. Its totient is φ = 11133120820.

The previous prime is 11133120787. The next prime is 11133120829. The reversal of 11133120821 is 12802133111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5747762596 + 5385358225 = 75814^2 + 73385^2 .

It is an emirp because it is prime and its reverse (12802133111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11133120821 - 2¹⁰ = 11133119797 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11133120829) 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, 5566560410 + 5566560411.

It is an arithmetic number, because the mean of its divisors is an integer number (5566560411).

Almost surely, 2^11133120821 is an apocalyptic number.

It is an amenable number.

11133120821 is a deficient number, since it is larger than the sum of its proper divisors (1).

11133120821 is an equidigital number, since it uses as much as digits as its factorization.

11133120821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 11133120821 its reverse (12802133111), we get a palindrome (23935253932).

The spelling of 11133120821 in words is "eleven billion, one hundred thirty-three million, one hundred twenty thousand, eight hundred twenty-one".