13224414400001 has 32 divisors (see below), whose sum is σ = 15384522977280. Its totient is φ = 11133046653696.

The previous prime is 13224414399971. The next prime is 13224414400063. The reversal of 13224414400001 is 10000441442231.

It is a cyclic number.

It is not a de Polignac number, because 13224414400001 - 2¹⁰ = 13224414398977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13224414400201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1341349610 + ... + 1341359468.

It is an arithmetic number, because the mean of its divisors is an integer number (480766343040).

Almost surely, 2^{13224414400001} is an apocalyptic number.

It is an amenable number.

13224414400001 is a deficient number, since it is larger than the sum of its proper divisors (2160108577279).

13224414400001 is an equidigital number, since it uses as much as digits as its factorization.

13224414400001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18093.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 13224414400001 its reverse (10000441442231), we get a palindrome (23224855842232).

The spelling of 13224414400001 in words is "thirteen trillion, two hundred twenty-four billion, four hundred fourteen million, four hundred thousand, one".