2211111611311 has 2 divisors, whose sum is σ = 2211111611312. Its totient is φ = 2211111611310.

The previous prime is 2211111611221. The next prime is 2211111611383. The reversal of 2211111611311 is 1131161111122.

It is a m-pointer prime, because the next prime (2211111611383) can be obtained adding 2211111611311 to its product of digits (72).

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2211111611311 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2211111611411) 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, 1105555805655 + 1105555805656.

It is an arithmetic number, because the mean of its divisors is an integer number (1105555805656).

Almost surely, 2^{2211111611311} is an apocalyptic number.

2211111611311 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211111611311 is an equidigital number, since it uses as much as digits as its factorization.

2211111611311 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 22.

Adding to 2211111611311 its reverse (1131161111122), we get a palindrome (3342272722433).

The spelling of 2211111611311 in words is "two trillion, two hundred eleven billion, one hundred eleven million, six hundred eleven thousand, three hundred eleven".