22211101011311 has 2 divisors, whose sum is σ = 22211101011312. Its totient is φ = 22211101011310.

The previous prime is 22211101011293. The next prime is 22211101011313. The reversal of 22211101011311 is 11311010111222.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22211101011311 is a prime.

Together with 22211101011313, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22211101011311.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22211101011313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11105550505655 + 11105550505656.

It is an arithmetic number, because the mean of its divisors is an integer number (11105550505656).

Almost surely, 2^{22211101011311} is an apocalyptic number.

22211101011311 is a deficient number, since it is larger than the sum of its proper divisors (1).

22211101011311 is an equidigital number, since it uses as much as digits as its factorization.

22211101011311 is an evil number, because the sum of its binary digits is even.

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

Adding to 22211101011311 its reverse (11311010111222), we get a palindrome (33522111122533).

The spelling of 22211101011311 in words is "twenty-two trillion, two hundred eleven billion, one hundred one million, eleven thousand, three hundred eleven".