13344144144331 has 32 divisors (see below), whose sum is σ = 18064684463616. Its totient is φ = 9598185511200.

The previous prime is 13344144144281. The next prime is 13344144144403.

13344144144331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13344144144331 - 2⁷ = 13344144144203 is a prime.

It is a super-2 number, since 2×13344144144331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13344144144731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54964885 + ... + 55207126.

It is an arithmetic number, because the mean of its divisors is an integer number (564521389488).

Almost surely, 2^{13344144144331} is an apocalyptic number.

13344144144331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13344144144331 is a deficient number, since it is larger than the sum of its proper divisors (4720540319285).

13344144144331 is a wasteful number, since it uses less digits than its factorization.

13344144144331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110172064 (or 110172042 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

It can be divided in two parts, 1334414 and 4144331, that added together give a palindrome (5478745).

The spelling of 13344144144331 in words is "thirteen trillion, three hundred forty-four billion, one hundred forty-four million, one hundred forty-four thousand, three hundred thirty-one".