2211311121113 has 2 divisors, whose sum is σ = 2211311121114. Its totient is φ = 2211311121112.

The previous prime is 2211311121059. The next prime is 2211311121119. The reversal of 2211311121113 is 3111211131122.

2211311121113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2206021031824 + 5290089289 = 1485268^2 + 72733^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211311121113 - 2²⁴ = 2211294343897 is a prime.

It is not a weakly prime, because it can be changed into another prime (2211311121119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105655560556 + 1105655560557.

It is an arithmetic number, because the mean of its divisors is an integer number (1105655560557).

Almost surely, 2^{2211311121113} is an apocalyptic number.

It is an amenable number.

2211311121113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211311121113 is an equidigital number, since it uses as much as digits as its factorization.

2211311121113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 20.

Adding to 2211311121113 its reverse (3111211131122), we get a palindrome (5322522252235).

The spelling of 2211311121113 in words is "two trillion, two hundred eleven billion, three hundred eleven million, one hundred twenty-one thousand, one hundred thirteen".