11211300213329 has 2 divisors, whose sum is σ = 11211300213330. Its totient is φ = 11211300213328.

The previous prime is 11211300213209. The next prime is 11211300213367. The reversal of 11211300213329 is 92331200311211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10242227321104 + 969072892225 = 3200348^2 + 984415^2 .

It is a cyclic number.

It is not a de Polignac number, because 11211300213329 - 2²⁰ = 11211299164753 is a prime.

It is not a weakly prime, because it can be changed into another prime (11211300216329) 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, 5605650106664 + 5605650106665.

It is an arithmetic number, because the mean of its divisors is an integer number (5605650106665).

Almost surely, 2^{11211300213329} is an apocalyptic number.

It is an amenable number.

11211300213329 is a deficient number, since it is larger than the sum of its proper divisors (1).

11211300213329 is an equidigital number, since it uses as much as digits as its factorization.

11211300213329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 11211300213329 in words is "eleven trillion, two hundred eleven billion, three hundred million, two hundred thirteen thousand, three hundred twenty-nine".