11333113120289 has 2 divisors, whose sum is σ = 11333113120290. Its totient is φ = 11333113120288.

The previous prime is 11333113120253. The next prime is 11333113120333. The reversal of 11333113120289 is 98202131133311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7240361587264 + 4092751533025 = 2690792^2 + 2023055^2 .

It is a cyclic number.

It is not a de Polignac number, because 11333113120289 - 2³⁶ = 11264393643553 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (11333113120249) 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, 5666556560144 + 5666556560145.

It is an arithmetic number, because the mean of its divisors is an integer number (5666556560145).

Almost surely, 2^{11333113120289} is an apocalyptic number.

It is an amenable number.

11333113120289 is a deficient number, since it is larger than the sum of its proper divisors (1).

11333113120289 is an equidigital number, since it uses as much as digits as its factorization.

11333113120289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 38.

The spelling of 11333113120289 in words is "eleven trillion, three hundred thirty-three billion, one hundred thirteen million, one hundred twenty thousand, two hundred eighty-nine".