13221010211201 has 8 divisors (see below), whose sum is σ = 14238112846440. Its totient is φ = 12203922125952.

The previous prime is 13221010211197. The next prime is 13221010211261. The reversal of 13221010211201 is 10211201012231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2979576561025 + 10241433650176 = 1726145^2 + 3200224^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13221010211201 - 2² = 13221010211197 is a prime.

It is a super-2 number, since 2×13221010211201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13221010211201.

It is not an unprimeable number, because it can be changed into a prime (13221010211261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1712540 + ... + 5419853.

It is an arithmetic number, because the mean of its divisors is an integer number (1779764105805).

Almost surely, 2^{13221010211201} is an apocalyptic number.

It is an amenable number.

13221010211201 is a deficient number, since it is larger than the sum of its proper divisors (1017102635239).

13221010211201 is a wasteful number, since it uses less digits than its factorization.

13221010211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7274995.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 13221010211201 its reverse (10211201012231), we get a palindrome (23432211223432).

The spelling of 13221010211201 in words is "thirteen trillion, two hundred twenty-one billion, ten million, two hundred eleven thousand, two hundred one".