4144112134313 has 2 divisors, whose sum is σ = 4144112134314. Its totient is φ = 4144112134312.

The previous prime is 4144112134307. The next prime is 4144112134361. The reversal of 4144112134313 is 3134312114414.

It is a happy number.

4144112134313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2310679688464 + 1833432445849 = 1520092^2 + 1354043^2 .

It is a cyclic number.

It is not a de Polignac number, because 4144112134313 - 2¹⁰ = 4144112133289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4144112134313.

It is not a weakly prime, because it can be changed into another prime (4144112134913) 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 as a sum of consecutive naturals, namely, 2072056067156 + 2072056067157.

It is an arithmetic number, because the mean of its divisors is an integer number (2072056067157).

Almost surely, 2^{4144112134313} is an apocalyptic number.

It is an amenable number.

4144112134313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4144112134313 is an equidigital number, since it uses as much as digits as its factorization.

4144112134313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 32.

Adding to 4144112134313 its reverse (3134312114414), we get a palindrome (7278424248727).

The spelling of 4144112134313 in words is "four trillion, one hundred forty-four billion, one hundred twelve million, one hundred thirty-four thousand, three hundred thirteen".