11101322133193 has 2 divisors, whose sum is σ = 11101322133194. Its totient is φ = 11101322133192.

The previous prime is 11101322133151. The next prime is 11101322133257. The reversal of 11101322133193 is 39133122310111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10182461854009 + 918860279184 = 3190997^2 + 958572^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101322133193 - 2¹³ = 11101322125001 is a prime.

It is not a weakly prime, because it can be changed into another prime (11101322133793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550661066596 + 5550661066597.

It is an arithmetic number, because the mean of its divisors is an integer number (5550661066597).

Almost surely, 2^{11101322133193} is an apocalyptic number.

It is an amenable number.

11101322133193 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101322133193 is an equidigital number, since it uses as much as digits as its factorization.

11101322133193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 31.

The spelling of 11101322133193 in words is "eleven trillion, one hundred one billion, three hundred twenty-two million, one hundred thirty-three thousand, one hundred ninety-three".