11111213113121 has 32 divisors (see below), whose sum is σ = 12549700396800. Its totient is φ = 9749541760000.

The previous prime is 11111213113111. The next prime is 11111213113139. The reversal of 11111213113121 is 12131131211111.

It is a cyclic number.

It is not a de Polignac number, because 11111213113121 - 2¹⁸ = 11111212850977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11111213113093 and 11111213113102.

It is not an unprimeable number, because it can be changed into a prime (11111213113111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58620620 + ... + 58809858.

It is an arithmetic number, because the mean of its divisors is an integer number (392178137400).

Almost surely, 2^{11111213113121} is an apocalyptic number.

11111213113121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11111213113121 is a deficient number, since it is larger than the sum of its proper divisors (1438487283679).

11111213113121 is a wasteful number, since it uses less digits than its factorization.

11111213113121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190681.

The product of its digits is 36, while the sum is 20.

Adding to 11111213113121 its reverse (12131131211111), we get a palindrome (23242344324232).

It can be divided in two parts, 1111 and 1213113121, that multiplied together give a palindrome (1347768677431).

The spelling of 11111213113121 in words is "eleven trillion, one hundred eleven billion, two hundred thirteen million, one hundred thirteen thousand, one hundred twenty-one".