12131111113121 has 64 divisors (see below), whose sum is σ = 16460285571072. Its totient is φ = 8633455200000.

The previous prime is 12131111113081. The next prime is 12131111113123.

12131111113121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12131111113121 - 2⁶ = 12131111113057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12131111113093 and 12131111113102.

It is not an unprimeable number, because it can be changed into a prime (12131111113123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152723906 + ... + 152803316.

It is an arithmetic number, because the mean of its divisors is an integer number (257191962048).

Almost surely, 2^{12131111113121} is an apocalyptic number.

12131111113121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12131111113121 is a deficient number, since it is larger than the sum of its proper divisors (4329174457951).

12131111113121 is a wasteful number, since it uses less digits than its factorization.

12131111113121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81054.

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

It can be divided in two parts, 1213111 and 1113121, that added together give a palindrome (2326232).

The spelling of 12131111113121 in words is "twelve trillion, one hundred thirty-one billion, one hundred eleven million, one hundred thirteen thousand, one hundred twenty-one".