13310333321121 has 6 divisors (see below), whose sum is σ = 19226037019410. Its totient is φ = 8873555547408.

The previous prime is 13310333321107. The next prime is 13310333321137. The reversal of 13310333321121 is 12112333301331.

13310333321121 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 0 + 333 + 321 + 1 + 2 + 1 = 666.

13310333321121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7007667840000 + 6302665481121 = 2647200^2 + 2510511^2 .

It is not a de Polignac number, because 13310333321121 - 2¹³ = 13310333312929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13310333321141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 739462962276 + ... + 739462962293.

It is an arithmetic number, because the mean of its divisors is an integer number (3204339503235).

Almost surely, 2^{13310333321121} is an apocalyptic number.

It is an amenable number.

13310333321121 is a deficient number, since it is larger than the sum of its proper divisors (5915703698289).

13310333321121 is a wasteful number, since it uses less digits than its factorization.

13310333321121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478925924575 (or 1478925924572 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13310333321121 its reverse (12112333301331), we get a palindrome (25422666622452).

The spelling of 13310333321121 in words is "thirteen trillion, three hundred ten billion, three hundred thirty-three million, three hundred twenty-one thousand, one hundred twenty-one".