13331322413221 has 8 divisors (see below), whose sum is σ = 13762481644800. Its totient is φ = 12900232967520.

The previous prime is 13331322413219. The next prime is 13331322413231. The reversal of 13331322413221 is 12231422313331.

13331322413221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13331322413221 - 2¹ = 13331322413219 is a prime.

It is a super-3 number, since 3×13331322413221³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331322413231) 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, 17058091 + ... + 17822488.

It is an arithmetic number, because the mean of its divisors is an integer number (1720310205600).

Almost surely, 2^{13331322413221} is an apocalyptic number.

It is an amenable number.

13331322413221 is a deficient number, since it is larger than the sum of its proper divisors (431159231579).

13331322413221 is a wasteful number, since it uses less digits than its factorization.

13331322413221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34892939.

The product of its digits is 15552, while the sum is 31.

Adding to 13331322413221 its reverse (12231422313331), we get a palindrome (25562744726552).

The spelling of 13331322413221 in words is "thirteen trillion, three hundred thirty-one billion, three hundred twenty-two million, four hundred thirteen thousand, two hundred twenty-one".