13331120023121 has 2 divisors, whose sum is σ = 13331120023122. Its totient is φ = 13331120023120.

The previous prime is 13331120023103. The next prime is 13331120023159. The reversal of 13331120023121 is 12132002113331.

13331120023121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9861986544400 + 3469133478721 = 3140380^2 + 1862561^2 .

It is an emirp because it is prime and its reverse (12132002113331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13331120023121 - 2¹⁰ = 13331120022097 is a prime.

It is a super-2 number, since 2×13331120023121² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13331120023321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665560011560 + 6665560011561.

It is an arithmetic number, because the mean of its divisors is an integer number (6665560011561).

Almost surely, 2^{13331120023121} is an apocalyptic number.

It is an amenable number.

13331120023121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331120023121 is an equidigital number, since it uses as much as digits as its factorization.

13331120023121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13331120023121 its reverse (12132002113331), we get a palindrome (25463122136452).

The spelling of 13331120023121 in words is "thirteen trillion, three hundred thirty-one billion, one hundred twenty million, twenty-three thousand, one hundred twenty-one".