13321001414001 has 32 divisors (see below), whose sum is σ = 18784264120960. Its totient is φ = 8373702053376.

The previous prime is 13321001413987. The next prime is 13321001414101. The reversal of 13321001414001 is 10041410012331.

13321001414001 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 13321001414001 - 2⁷ = 13321001413873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13321001414101) 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, 9697395 + ... + 10985511.

It is an arithmetic number, because the mean of its divisors is an integer number (587008253780).

Almost surely, 2^{13321001414001} is an apocalyptic number.

It is an amenable number.

13321001414001 is a deficient number, since it is larger than the sum of its proper divisors (5463262706959).

13321001414001 is a wasteful number, since it uses less digits than its factorization.

13321001414001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288993.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13321001414001 its reverse (10041410012331), we get a palindrome (23362411426332).

The spelling of 13321001414001 in words is "thirteen trillion, three hundred twenty-one billion, one million, four hundred fourteen thousand, one".