13320311213331 has 32 divisors (see below), whose sum is σ = 20631158392320. Its totient is φ = 8477870160672.

The previous prime is 13320311213329. The next prime is 13320311213359. The reversal of 13320311213331 is 13331211302331.

13320311213331 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 0 + 311 + 2 + 13 + 331 = 666.

It is not a de Polignac number, because 13320311213331 - 2¹ = 13320311213329 is a prime.

It is a super-2 number, since 2×13320311213331² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13320311213295 and 13320311213304.

It is not an unprimeable number, because it can be changed into a prime (13320311213311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20181696 + ... + 20831261.

It is an arithmetic number, because the mean of its divisors is an integer number (644723699760).

Almost surely, 2^{13320311213331} is an apocalyptic number.

13320311213331 is a deficient number, since it is larger than the sum of its proper divisors (7310847178989).

13320311213331 is a wasteful number, since it uses less digits than its factorization.

13320311213331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41013512 (or 41013506 counting only the distinct ones).

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

Adding to 13320311213331 its reverse (13331211302331), we get a palindrome (26651522515662).

The spelling of 13320311213331 in words is "thirteen trillion, three hundred twenty billion, three hundred eleven million, two hundred thirteen thousand, three hundred thirty-one".