11211221111113 has 2 divisors, whose sum is σ = 11211221111114. Its totient is φ = 11211221111112.

The previous prime is 11211221111071. The next prime is 11211221111137. The reversal of 11211221111113 is 31111112211211.

It is a happy number.

It is a m-pointer prime, because the next prime (11211221111137) can be obtained adding 11211221111113 to its product of digits (24).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6108989459769 + 5102231651344 = 2471637^2 + 2258812^2 .

It is a cyclic number.

It is not a de Polignac number, because 11211221111113 - 2²⁹ = 11210684240201 is a prime.

It is not a weakly prime, because it can be changed into another prime (11211221111813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5605610555556 + 5605610555557.

It is an arithmetic number, because the mean of its divisors is an integer number (5605610555557).

Almost surely, 2^{11211221111113} is an apocalyptic number.

It is an amenable number.

11211221111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11211221111113 is an equidigital number, since it uses as much as digits as its factorization.

11211221111113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24, while the sum is 19.

Adding to 11211221111113 its reverse (31111112211211), we get a palindrome (42322333322324).

The spelling of 11211221111113 in words is "eleven trillion, two hundred eleven billion, two hundred twenty-one million, one hundred eleven thousand, one hundred thirteen".