11011011221113 has 2 divisors, whose sum is σ = 11011011221114. Its totient is φ = 11011011221112.

The previous prime is 11011011221069. The next prime is 11011011221117. The reversal of 11011011221113 is 31112211011011.

11011011221113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9786210837264 + 1224800383849 = 3128292^2 + 1106707^2 .

It is a cyclic number.

It is not a de Polignac number, because 11011011221113 - 2²⁵ = 11010977666681 is a prime.

It is a super-2 number, since 2×11011011221113² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11011011221117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505505610556 + 5505505610557.

It is an arithmetic number, because the mean of its divisors is an integer number (5505505610557).

Almost surely, 2^{11011011221113} is an apocalyptic number.

It is an amenable number.

11011011221113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011011221113 is an equidigital number, since it uses as much as digits as its factorization.

11011011221113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 11011011221113 its reverse (31112211011011), we get a palindrome (42123222232124).

The spelling of 11011011221113 in words is "eleven trillion, eleven billion, eleven million, two hundred twenty-one thousand, one hundred thirteen".