144331414113313 has 10 divisors (see below), whose sum is σ = 168376630961314. Its totient is φ = 123712640666496.

The previous prime is 144331414113307. The next prime is 144331414113323. The reversal of 144331414113313 is 313311414133441.

It can be written as a sum of positive squares in only one way, i.e., 76284555214609 + 68046858898704 = 8734103^2 + 8249052^2 .

It is not a de Polignac number, because 144331414113313 - 2⁹ = 144331414112801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144331414113323) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 30056518656 + ... + 30056523457.

Almost surely, 2^{144331414113313} is an apocalyptic number.

It is an amenable number.

144331414113313 is a deficient number, since it is larger than the sum of its proper divisors (24045216848001).

144331414113313 is an frugal number, since it uses more digits than its factorization.

144331414113313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60113042141 (or 60113042120 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

Adding to 144331414113313 its reverse (313311414133441), we get a palindrome (457642828246754).

The spelling of 144331414113313 in words is "one hundred forty-four trillion, three hundred thirty-one billion, four hundred fourteen million, one hundred thirteen thousand, three hundred thirteen".