144305123253313 has 16 divisors (see below), whose sum is σ = 159390108573696. Its totient is φ = 129549243151440.

The previous prime is 144305123253301. The next prime is 144305123253341. The reversal of 144305123253313 is 313352321503441.

It is a cyclic number.

It is not a de Polignac number, because 144305123253313 - 2³⁷ = 144167684299841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144305123263313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32467281 + ... + 36643342.

It is an arithmetic number, because the mean of its divisors is an integer number (9961881785856).

Almost surely, 2^{144305123253313} is an apocalyptic number.

It is an amenable number.

144305123253313 is a deficient number, since it is larger than the sum of its proper divisors (15084985320383).

144305123253313 is a wasteful number, since it uses less digits than its factorization.

144305123253313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69113004.

The product of its (nonzero) digits is 388800, while the sum is 40.

Adding to 144305123253313 its reverse (313352321503441), we get a palindrome (457657444756754).

The spelling of 144305123253313 in words is "one hundred forty-four trillion, three hundred five billion, one hundred twenty-three million, two hundred fifty-three thousand, three hundred thirteen".