13110340303424 has 168 divisors, whose sum is σ = 32598740317248. Its totient is φ = 5185318118400.

The previous prime is 13110340303421. The next prime is 13110340303477. The reversal of 13110340303424 is 42430304301131.

It is a happy number.

It is a super-2 number, since 2×13110340303424² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13110340303421) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 189577397 + ... + 189646539.

It is an arithmetic number, because the mean of its divisors is an integer number (194040120936).

Almost surely, 2^{13110340303424} is an apocalyptic number.

13110340303424 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 13110340303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16299370158624).

13110340303424 is an abundant number, since it is smaller than the sum of its proper divisors (19488400013824).

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

13110340303424 is a wasteful number, since it uses less digits than its factorization.

13110340303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73833 (or 73816 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 13110340303424 its reverse (42430304301131), we get a palindrome (55540644604555).

The spelling of 13110340303424 in words is "thirteen trillion, one hundred ten billion, three hundred forty million, three hundred three thousand, four hundred twenty-four".