111113321121 has 192 divisors, whose sum is σ = 196231216896. Its totient is φ = 59808153600.

The previous prime is 111113321093. The next prime is 111113321153. The reversal of 111113321121 is 121123311111.

111113321121 is a `hidden beast` number, since 111 + 113 + 321 + 121 = 666.

It is not a de Polignac number, because 111113321121 - 2²⁹ = 110576450209 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 111113321094 and 111113321103.

It is not an unprimeable number, because it can be changed into a prime (111113341121) 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 191 ways as a sum of consecutive naturals, for example, 432347425 + ... + 432347681.

It is an arithmetic number, because the mean of its divisors is an integer number (1022037588).

Almost surely, 2^111113321121 is an apocalyptic number.

111113321121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111113321121 is a deficient number, since it is larger than the sum of its proper divisors (85117895775).

111113321121 is a wasteful number, since it uses less digits than its factorization.

111113321121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 509 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

Adding to 111113321121 its reverse (121123311111), we get a palindrome (232236632232).

It can be divided in two parts, 111113 and 321121, that added together give a palindrome (432234).

The spelling of 111113321121 in words is "one hundred eleven billion, one hundred thirteen million, three hundred twenty-one thousand, one hundred twenty-one".