11011221112013 has 2 divisors, whose sum is σ = 11011221112014. Its totient is φ = 11011221112012.

The previous prime is 11011221111889. The next prime is 11011221112019. The reversal of 11011221112013 is 31021112211011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10992261749764 + 18959362249 = 3315458^2 + 137693^2 .

It is a cyclic number.

It is not a de Polignac number, because 11011221112013 - 2²⁶ = 11011154003149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11011221111982 and 11011221112000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11011221112019) 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, 5505610556006 + 5505610556007.

It is an arithmetic number, because the mean of its divisors is an integer number (5505610556007).

Almost surely, 2^{11011221112013} is an apocalyptic number.

It is an amenable number.

11011221112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011221112013 is an equidigital number, since it uses as much as digits as its factorization.

11011221112013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 11011221112013 its reverse (31021112211011), we get a palindrome (42032333323024).

The spelling of 11011221112013 in words is "eleven trillion, eleven billion, two hundred twenty-one million, one hundred twelve thousand, thirteen".