13221131112001 has 16 divisors (see below), whose sum is σ = 13274291016000. Its totient is φ = 13168091524608.

The previous prime is 13221131111939. The next prime is 13221131112029. The reversal of 13221131112001 is 10021113112231.

It is a cyclic number.

It is not a de Polignac number, because 13221131112001 - 2¹⁹ = 13221130587713 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13221131112001.

It is not an unprimeable number, because it can be changed into a prime (13221131112061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 864175050 + ... + 864190348.

It is an arithmetic number, because the mean of its divisors is an integer number (829643188500).

Almost surely, 2^{13221131112001} is an apocalyptic number.

It is an amenable number.

13221131112001 is a deficient number, since it is larger than the sum of its proper divisors (53159903999).

13221131112001 is a wasteful number, since it uses less digits than its factorization.

13221131112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19008.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 13221131112001 its reverse (10021113112231), we get a palindrome (23242244224232).

The spelling of 13221131112001 in words is "thirteen trillion, two hundred twenty-one billion, one hundred thirty-one million, one hundred twelve thousand, one".