12314544541321 has 32 divisors (see below), whose sum is σ = 13725770122368. Its totient is φ = 10954462371840.

The previous prime is 12314544541309. The next prime is 12314544541349.

12314544541321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12314544541321 - 2¹¹ = 12314544539273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12314544541361) 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, 186655686 + ... + 186721648.

It is an arithmetic number, because the mean of its divisors is an integer number (428930316324).

Almost surely, 2^{12314544541321} is an apocalyptic number.

12314544541321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12314544541321 is a deficient number, since it is larger than the sum of its proper divisors (1411225581047).

12314544541321 is a wasteful number, since it uses less digits than its factorization.

12314544541321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67881.

The product of its digits is 230400, while the sum is 40.

It can be divided in two parts, 1231454 and 4541321, that added together give a palindrome (5772775).

The spelling of 12314544541321 in words is "twelve trillion, three hundred fourteen billion, five hundred forty-four million, five hundred forty-one thousand, three hundred twenty-one".