12314144141321 has 16 divisors (see below), whose sum is σ = 13882120642368. Its totient is φ = 10826074392000.

The previous prime is 12314144141293. The next prime is 12314144141333.

12314144141321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12314144141321 - 2¹⁰ = 12314144140297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12314144341321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128834066 + ... + 128929611.

It is an arithmetic number, because the mean of its divisors is an integer number (867632540148).

Almost surely, 2^{12314144141321} is an apocalyptic number.

12314144141321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12314144141321 is a deficient number, since it is larger than the sum of its proper divisors (1567976501047).

12314144141321 is a wasteful number, since it uses less digits than its factorization.

12314144141321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257763832.

The product of its digits is 9216, while the sum is 32.

It can be divided in two parts, 1231414 and 4141321, that added together give a palindrome (5372735).

The spelling of 12314144141321 in words is "twelve trillion, three hundred fourteen billion, one hundred forty-four million, one hundred forty-one thousand, three hundred twenty-one".