13221111320001 has 36 divisors (see below), whose sum is σ = 21238070804028. Its totient is φ = 7916174727552.

The previous prime is 13221111319981. The next prime is 13221111320017. The reversal of 13221111320001 is 10002311112231.

13221111320001 is a `hidden beast` number, since 1 + 322 + 11 + 11 + 320 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2474089909776 + 10747021410225 = 1572924^2 + 3278265^2 .

It is not a de Polignac number, because 13221111320001 - 2³⁷ = 13083672366529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13221111320071) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 117408330 + ... + 117520883.

It is an arithmetic number, because the mean of its divisors is an integer number (589946411223).

Almost surely, 2^{13221111320001} is an apocalyptic number.

It is an amenable number.

13221111320001 is a deficient number, since it is larger than the sum of its proper divisors (8016959484027).

13221111320001 is a wasteful number, since it uses less digits than its factorization.

13221111320001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234929282 (or 234929266 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13221111320001 its reverse (10002311112231), we get a palindrome (23223422432232).

The spelling of 13221111320001 in words is "thirteen trillion, two hundred twenty-one billion, one hundred eleven million, three hundred twenty thousand, one".