2211123332113 has 16 divisors (see below), whose sum is σ = 2288925999360. Its totient is φ = 2134777182336.

The previous prime is 2211123332107. The next prime is 2211123332179. The reversal of 2211123332113 is 3112333211122.

It is not a de Polignac number, because 2211123332113 - 2⁹ = 2211123331601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2211123332213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212245 + ... + 2113597.

It is an arithmetic number, because the mean of its divisors is an integer number (143057874960).

Almost surely, 2^{2211123332113} is an apocalyptic number.

It is an amenable number.

2211123332113 is a deficient number, since it is larger than the sum of its proper divisors (77802667247).

2211123332113 is a wasteful number, since it uses less digits than its factorization.

2211123332113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901736.

The product of its digits is 1296, while the sum is 25.

Adding to 2211123332113 its reverse (3112333211122), we get a palindrome (5323456543235).

It can be divided in two parts, 221112 and 3332113, that added together give a square (3553225 = 1885²).

The spelling of 2211123332113 in words is "two trillion, two hundred eleven billion, one hundred twenty-three million, three hundred thirty-two thousand, one hundred thirteen".