12144041021313 has 12 divisors (see below), whose sum is σ = 17541461623140. Its totient is φ = 8095995484416.

The previous prime is 12144041021291. The next prime is 12144041021341. The reversal of 12144041021313 is 31312014044121.

It is a happy number.

12144041021313 is a `hidden beast` number, since 1 + 2 + 1 + 440 + 4 + 1 + 0 + 213 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8823234574449 + 3320806446864 = 2970393^2 + 1822308^2 .

It is a de Polignac number, because none of the positive numbers 2^k-12144041021313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12144041021363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113356 + ... + 4929597.

It is an arithmetic number, because the mean of its divisors is an integer number (1461788468595).

Almost surely, 2^{12144041021313} is an apocalyptic number.

It is an amenable number.

12144041021313 is a deficient number, since it is larger than the sum of its proper divisors (5397420601827).

12144041021313 is a wasteful number, since it uses less digits than its factorization.

12144041021313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5310528 (or 5310525 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12144041021313 its reverse (31312014044121), we get a palindrome (43456055065434).

The spelling of 12144041021313 in words is "twelve trillion, one hundred forty-four billion, forty-one million, twenty-one thousand, three hundred thirteen".