13021322321201 has 4 divisors (see below), whose sum is σ = 13021331268132. Its totient is φ = 13021313374272.

The previous prime is 13021322321179. The next prime is 13021322321257. The reversal of 13021322321201 is 10212322312031.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 6100208419600 + 6921113901601 = 2469860^2 + 2630801^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13021322321201 is a prime.

It is a super-3 number, since 3×13021322321201³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13021322321261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1729220 + ... + 5388213.

It is an arithmetic number, because the mean of its divisors is an integer number (3255332817033).

Almost surely, 2^{13021322321201} is an apocalyptic number.

It is an amenable number.

13021322321201 is a deficient number, since it is larger than the sum of its proper divisors (8946931).

13021322321201 is an equidigital number, since it uses as much as digits as its factorization.

13021322321201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8946930.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 13021322321201 its reverse (10212322312031), we get a palindrome (23233644633232).

The spelling of 13021322321201 in words is "thirteen trillion, twenty-one billion, three hundred twenty-two million, three hundred twenty-one thousand, two hundred one".