12131144113121 has 8 divisors (see below), whose sum is σ = 13235775780288. Its totient is φ = 11026812510000.

The previous prime is 12131144113103. The next prime is 12131144113159.

12131144113121 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12131144113121 - 2³⁰ = 12130070371297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12131144113171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74931470 + ... + 75093191.

It is an arithmetic number, because the mean of its divisors is an integer number (1654471972536).

Almost surely, 2^{12131144113121} is an apocalyptic number.

12131144113121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12131144113121 is a deficient number, since it is larger than the sum of its proper divisors (1104631667167).

12131144113121 is a wasteful number, since it uses less digits than its factorization.

12131144113121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150032023.

The product of its digits is 576, while the sum is 26.

It can be divided in two parts, 1213114 and 4113121, that added together give a palindrome (5326235).

The spelling of 12131144113121 in words is "twelve trillion, one hundred thirty-one billion, one hundred forty-four million, one hundred thirteen thousand, one hundred twenty-one".