13330311303331 has 12 divisors (see below), whose sum is σ = 14797398192192. Its totient is φ = 11998480010000.

The previous prime is 13330311303263. The next prime is 13330311303403.

13330311303331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13330311303331 - 2¹⁷ = 13330311172259 is a prime.

It is a super-2 number, since 2×13330311303331² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13330311303331.

It is not an unprimeable number, because it can be changed into a prime (13330311303031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 545373235 + ... + 545397676.

It is an arithmetic number, because the mean of its divisors is an integer number (1233116516016).

Almost surely, 2^{13330311303331} is an apocalyptic number.

13330311303331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13330311303331 is a deficient number, since it is larger than the sum of its proper divisors (1467086888861).

13330311303331 is a wasteful number, since it uses less digits than its factorization.

13330311303331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090771034 (or 1090771023 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 28.

It can be divided in two parts, 1333031 and 1303331, that added together give a palindrome (2636362).

The spelling of 13330311303331 in words is "thirteen trillion, three hundred thirty billion, three hundred eleven million, three hundred three thousand, three hundred thirty-one".