2113223011011 has 12 divisors (see below), whose sum is σ = 3488495129392. Its totient is φ = 1207556006256.

The previous prime is 2113223010979. The next prime is 2113223011057. The reversal of 2113223011011 is 1101103223112.

2113223011011 is a `hidden beast` number, since 21 + 1 + 322 + 301 + 10 + 11 = 666.

It is not a de Polignac number, because 2113223011011 - 2⁵ = 2113223010979 is a prime.

It is a super-2 number, since 2×2113223011011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2113223011091) 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 in 11 ways as a sum of consecutive naturals, for example, 16771611136 + ... + 16771611261.

Almost surely, 2^{2113223011011} is an apocalyptic number.

2113223011011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2113223011011 is a deficient number, since it is larger than the sum of its proper divisors (1375272118381).

2113223011011 is a wasteful number, since it uses less digits than its factorization.

2113223011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33543222410 (or 33543222407 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2113223011011 its reverse (1101103223112), we get a palindrome (3214326234123).

The spelling of 2113223011011 in words is "two trillion, one hundred thirteen billion, two hundred twenty-three million, eleven thousand, eleven".