11110111331121 has 24 divisors (see below), whose sum is σ = 17583964785504. Its totient is φ = 6703738234560.

The previous prime is 11110111331071. The next prime is 11110111331171. The reversal of 11110111331121 is 12113311101111.

It is a happy number.

11110111331121 is a `hidden beast` number, since 111 + 101 + 1 + 1 + 331 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (11110111331071) and next prime (11110111331171).

It is not a de Polignac number, because 11110111331121 - 2¹¹ = 11110111329073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11110111331094 and 11110111331103.

It is not an unprimeable number, because it can be changed into a prime (11110111331171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247165516 + ... + 247210461.

It is an arithmetic number, because the mean of its divisors is an integer number (732665199396).

Almost surely, 2^{11110111331121} is an apocalyptic number.

11110111331121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11110111331121 is a deficient number, since it is larger than the sum of its proper divisors (6473853454383).

11110111331121 is a wasteful number, since it uses less digits than its factorization.

11110111331121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494376221 (or 494376218 counting only the distinct ones).

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

Adding to 11110111331121 its reverse (12113311101111), we get a palindrome (23223422432232).

The spelling of 11110111331121 in words is "eleven trillion, one hundred ten billion, one hundred eleven million, three hundred thirty-one thousand, one hundred twenty-one".