11000223311121 has 72 divisors (see below), whose sum is σ = 17833019113728. Its totient is φ = 6479993520000.

The previous prime is 11000223311113. The next prime is 11000223311149. The reversal of 11000223311121 is 12111332200011.

11000223311121 is a `hidden beast` number, since 1 + 10 + 0 + 0 + 223 + 311 + 121 = 666.

It is not a de Polignac number, because 11000223311121 - 2³ = 11000223311113 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11000223311094 and 11000223311103.

It is not an unprimeable number, because it can be changed into a prime (11000223311321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134270271 + ... + 134352171.

It is an arithmetic number, because the mean of its divisors is an integer number (247680821024).

Almost surely, 2^{11000223311121} is an apocalyptic number.

11000223311121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11000223311121 is a deficient number, since it is larger than the sum of its proper divisors (6832795802607).

11000223311121 is a wasteful number, since it uses less digits than its factorization.

11000223311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82983 (or 82943 counting only the distinct ones).

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

Adding to 11000223311121 its reverse (12111332200011), we get a palindrome (23111555511132).

The spelling of 11000223311121 in words is "eleven trillion, two hundred twenty-three million, three hundred eleven thousand, one hundred twenty-one".