11002121576813 has 2 divisors, whose sum is σ = 11002121576814. Its totient is φ = 11002121576812.

The previous prime is 11002121576773. The next prime is 11002121576843. The reversal of 11002121576813 is 31867512120011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10855265541289 + 146856035524 = 3294733^2 + 383218^2 .

It is a cyclic number.

It is not a de Polignac number, because 11002121576813 - 2²⁰ = 11002120528237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11002121576843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5501060788406 + 5501060788407.

It is an arithmetic number, because the mean of its divisors is an integer number (5501060788407).

Almost surely, 2^{11002121576813} is an apocalyptic number.

It is an amenable number.

11002121576813 is a deficient number, since it is larger than the sum of its proper divisors (1).

11002121576813 is an equidigital number, since it uses as much as digits as its factorization.

11002121576813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 38.

Adding to 11002121576813 its reverse (31867512120011), we get a palindrome (42869633696824).

The spelling of 11002121576813 in words is "eleven trillion, two billion, one hundred twenty-one million, five hundred seventy-six thousand, eight hundred thirteen".