12133111133121 has 16 divisors (see below), whose sum is σ = 17648219930880. Its totient is φ = 7353376402320.

The previous prime is 12133111133119. The next prime is 12133111133141.

12133111133121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12133111133121 - 2¹ = 12133111133119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12133111133091 and 12133111133100.

It is not an unprimeable number, because it can be changed into a prime (12133111133141) 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, 18718470 + ... + 19355808.

It is an arithmetic number, because the mean of its divisors is an integer number (1103013745680).

Almost surely, 2^{12133111133121} is an apocalyptic number.

12133111133121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12133111133121 is a deficient number, since it is larger than the sum of its proper divisors (5515108797759).

12133111133121 is a wasteful number, since it uses less digits than its factorization.

12133111133121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214236.

The product of its digits is 324, while the sum is 24.

It can be divided in two parts, 1213311 and 1133121, that added together give a palindrome (2346432).

The spelling of 12133111133121 in words is "twelve trillion, one hundred thirty-three billion, one hundred eleven million, one hundred thirty-three thousand, one hundred twenty-one".