13330122330311 has 16 divisors (see below), whose sum is σ = 13553138346720. Its totient is φ = 13108992307200.

The previous prime is 13330122330281. The next prime is 13330122330341. The reversal of 13330122330311 is 11303322103331.

13330122330311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13330122330281) and next prime (13330122330341).

It is a cyclic number.

It is not a de Polignac number, because 13330122330311 - 2³⁴ = 13312942461127 is a prime.

It is a super-2 number, since 2×13330122330311² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330122330341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26237351 + ... + 26740583.

It is an arithmetic number, because the mean of its divisors is an integer number (847071146670).

Almost surely, 2^{13330122330311} is an apocalyptic number.

13330122330311 is a deficient number, since it is larger than the sum of its proper divisors (223016016409).

13330122330311 is a wasteful number, since it uses less digits than its factorization.

13330122330311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505106.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 13330122330311 its reverse (11303322103331), we get a palindrome (24633444433642).

The spelling of 13330122330311 in words is "thirteen trillion, three hundred thirty billion, one hundred twenty-two million, three hundred thirty thousand, three hundred eleven".