13430510440305 has 48 divisors (see below), whose sum is σ = 25672839722880. Its totient is φ = 5872720068864.

The previous prime is 13430510440289. The next prime is 13430510440349. The reversal of 13430510440305 is 50304401503431.

It is not a de Polignac number, because 13430510440305 - 2⁴ = 13430510440289 is a prime.

It is a super-2 number, since 2×13430510440305² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 120842020 + ... + 120953109.

It is an arithmetic number, because the mean of its divisors is an integer number (534850827560).

Almost surely, 2^{13430510440305} is an apocalyptic number.

13430510440305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13430510440305 is a deficient number, since it is larger than the sum of its proper divisors (12242329282575).

13430510440305 is a wasteful number, since it uses less digits than its factorization.

13430510440305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241795190 (or 241795167 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 13430510440305 its reverse (50304401503431), we get a palindrome (63734911943736).

The spelling of 13430510440305 in words is "thirteen trillion, four hundred thirty billion, five hundred ten million, four hundred forty thousand, three hundred five".