13301142430240 has 96 divisors (see below), whose sum is σ = 36171452499840. Its totient is φ = 4527583064064.

The previous prime is 13301142430193. The next prime is 13301142430283. The reversal of 13301142430240 is 4203424110331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13301142430199 and 13301142430208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42563817 + ... + 42875176.

It is an arithmetic number, because the mean of its divisors is an integer number (376785963540).

Almost surely, 2^{13301142430240} is an apocalyptic number.

13301142430240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13301142430240 is an abundant number, since it is smaller than the sum of its proper divisors (22870310069600).

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

13301142430240 is a wasteful number, since it uses less digits than its factorization.

13301142430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85439154 (or 85439146 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13301142430240 its reverse (4203424110331), we get a palindrome (17504566540571).

The spelling of 13301142430240 in words is "thirteen trillion, three hundred one billion, one hundred forty-two million, four hundred thirty thousand, two hundred forty".