11331123112111 has 16 divisors (see below), whose sum is σ = 12409771258368. Its totient is φ = 10260575733600.

The previous prime is 11331123112087. The next prime is 11331123112147. The reversal of 11331123112111 is 11121132113311.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11331123112111 - 2⁹ = 11331123111599 is a prime.

It is a super-3 number, since 3×11331123112111³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331123112151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23387341 + ... + 23866921.

It is an arithmetic number, because the mean of its divisors is an integer number (775610703648).

Almost surely, 2^{11331123112111} is an apocalyptic number.

11331123112111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11331123112111 is a deficient number, since it is larger than the sum of its proper divisors (1078648146257).

11331123112111 is a wasteful number, since it uses less digits than its factorization.

11331123112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488022.

The product of its digits is 108, while the sum is 22.

Adding to 11331123112111 its reverse (11121132113311), we get a palindrome (22452255225422).

The spelling of 11331123112111 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-three million, one hundred twelve thousand, one hundred eleven".