11211111113113 has 2 divisors, whose sum is σ = 11211111113114. Its totient is φ = 11211111113112.

The previous prime is 11211111113101. The next prime is 11211111113131. The reversal of 11211111113113 is 31131111111211.

Together with next prime (11211111113131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a m-pointer prime, because the next prime (11211111113131) can be obtained adding 11211111113113 to its product of digits (18).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10900318242969 + 310792870144 = 3301563^2 + 557488^2 .

It is a cyclic number.

It is not a de Polignac number, because 11211111113113 - 2⁹ = 11211111112601 is a prime.

It is not a weakly prime, because it can be changed into another prime (11211111111113) 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, 5605555556556 + 5605555556557.

It is an arithmetic number, because the mean of its divisors is an integer number (5605555556557).

Almost surely, 2^{11211111113113} is an apocalyptic number.

It is an amenable number.

11211111113113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11211111113113 is an equidigital number, since it uses as much as digits as its factorization.

11211111113113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18, while the sum is 19.

Adding to 11211111113113 its reverse (31131111111211), we get a palindrome (42342222224324).

The spelling of 11211111113113 in words is "eleven trillion, two hundred eleven billion, one hundred eleven million, one hundred thirteen thousand, one hundred thirteen".