13110123314344 has 128 divisors (see below), whose sum is σ = 29154279974400. Its totient is φ = 5407651307520.

The previous prime is 13110123314333. The next prime is 13110123314363. The reversal of 13110123314344 is 44341332101131.

It is a super-2 number, since 2×13110123314344² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 719655124 + ... + 719673340.

It is an arithmetic number, because the mean of its divisors is an integer number (227767812300).

Almost surely, 2^{13110123314344} is an apocalyptic number.

13110123314344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13110123314344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14577139987200).

13110123314344 is an abundant number, since it is smaller than the sum of its proper divisors (16044156660056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13110123314344 is a wasteful number, since it uses less digits than its factorization.

13110123314344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19643 (or 19639 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 13110123314344 its reverse (44341332101131), we get a palindrome (57451455415475).

The spelling of 13110123314344 in words is "thirteen trillion, one hundred ten billion, one hundred twenty-three million, three hundred fourteen thousand, three hundred forty-four".