13344300344331 has 48 divisors (see below), whose sum is σ = 21596627321568. Its totient is φ = 7868533363200.

The previous prime is 13344300344213. The next prime is 13344300344351.

13344300344331 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 4 + 300 + 344 + 3 + 3 + 1 = 666.

13344300344331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13344300344331 - 2¹¹ = 13344300342283 is a prime.

It is a super-2 number, since 2×13344300344331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13344300344351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102487951 + ... + 102618071.

It is an arithmetic number, because the mean of its divisors is an integer number (449929735866).

Almost surely, 2^{13344300344331} is an apocalyptic number.

13344300344331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13344300344331 is a deficient number, since it is larger than the sum of its proper divisors (8252326977237).

13344300344331 is a wasteful number, since it uses less digits than its factorization.

13344300344331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158172 (or 158169 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 13344300 and 344331, that added together give a palindrome (13688631).

The spelling of 13344300344331 in words is "thirteen trillion, three hundred forty-four billion, three hundred million, three hundred forty-four thousand, three hundred thirty-one".