13311222120331 has 16 divisors (see below), whose sum is σ = 13579387426080. Its totient is φ = 13044675790080.

The previous prime is 13311222120293. The next prime is 13311222120349. The reversal of 13311222120331 is 13302122211331.

It is a cyclic number.

It is not a de Polignac number, because 13311222120331 - 2³⁹ = 12761466306443 is a prime.

It is a super-3 number, since 3×13311222120331³ (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 a junction number, because it is equal to n+sod(n) for n = 13311222120296 and 13311222120305.

It is not an unprimeable number, because it can be changed into a prime (13311222127331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279570855 + ... + 279618463.

It is an arithmetic number, because the mean of its divisors is an integer number (848711714130).

Almost surely, 2^{13311222120331} is an apocalyptic number.

13311222120331 is a deficient number, since it is larger than the sum of its proper divisors (268165305749).

13311222120331 is a wasteful number, since it uses less digits than its factorization.

13311222120331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64494.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 13311222120331 its reverse (13302122211331), we get a palindrome (26613344331662).

The spelling of 13311222120331 in words is "thirteen trillion, three hundred eleven billion, two hundred twenty-two million, one hundred twenty thousand, three hundred thirty-one".