13224142142505 has 192 divisors, whose sum is σ = 28772052761088. Its totient is φ = 5688254730240.

The previous prime is 13224142142489. The next prime is 13224142142507. The reversal of 13224142142505 is 50524124142231.

13224142142505 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 4 + 1 + 4 + 2 + 142 + 505 = 666.

13224142142505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13224142142505 - 2⁴ = 13224142142489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13224142142505.

It is not an unprimeable number, because it can be changed into a prime (13224142142507) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 713228535 + ... + 713247075.

It is an arithmetic number, because the mean of its divisors is an integer number (149854441464).

Almost surely, 2^{13224142142505} is an apocalyptic number.

13224142142505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13224142142505 is an abundant number, since it is smaller than the sum of its proper divisors (15547910618583).

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

13224142142505 is a wasteful number, since it uses less digits than its factorization.

13224142142505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23518 (or 23506 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 13224142142505 its reverse (50524124142231), we get a palindrome (63748266284736).

The spelling of 13224142142505 in words is "thirteen trillion, two hundred twenty-four billion, one hundred forty-two million, one hundred forty-two thousand, five hundred five".