144331313131313 has 32 divisors (see below), whose sum is σ = 180148126325760. Its totient is φ = 112339354311360.

The previous prime is 144331313131301. The next prime is 144331313131319. The reversal of 144331313131313 is 313131313133441.

It is not a de Polignac number, because 144331313131313 - 2¹⁶ = 144331313065777 is a prime.

It is a super-2 number, since 2×144331313131313² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144331313131319) 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 in 31 ways as a sum of consecutive naturals, for example, 1183341470 + ... + 1183463432.

It is an arithmetic number, because the mean of its divisors is an integer number (5629628947680).

Almost surely, 2^{144331313131313} is an apocalyptic number.

It is an amenable number.

144331313131313 is a deficient number, since it is larger than the sum of its proper divisors (35816813194447).

144331313131313 is a wasteful number, since it uses less digits than its factorization.

144331313131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139157.

The product of its digits is 34992, while the sum is 35.

Adding to 144331313131313 its reverse (313131313133441), we get a palindrome (457462626264754).

The spelling of 144331313131313 in words is "one hundred forty-four trillion, three hundred thirty-one billion, three hundred thirteen million, one hundred thirty-one thousand, three hundred thirteen".