13321123033113 has 48 divisors (see below), whose sum is σ = 22862591107200. Its totient is φ = 7468446244896.

The previous prime is 13321123033091. The next prime is 13321123033157. The reversal of 13321123033113 is 31133032112331.

13321123033113 is a `hidden beast` number, since 1 + 3 + 32 + 1 + 12 + 303 + 311 + 3 = 666.

It is not a de Polignac number, because 13321123033113 - 2¹² = 13321123029017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13321123033013) 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 47 ways as a sum of consecutive naturals, for example, 40546131 + ... + 40873352.

It is an arithmetic number, because the mean of its divisors is an integer number (476303981400).

Almost surely, 2^{13321123033113} is an apocalyptic number.

It is an amenable number.

13321123033113 is a deficient number, since it is larger than the sum of its proper divisors (9541468074087).

13321123033113 is an equidigital number, since it uses as much as digits as its factorization.

13321123033113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81419563 (or 81419546 counting only the distinct ones).

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

Adding to 13321123033113 its reverse (31133032112331), we get a palindrome (44454155145444).

The spelling of 13321123033113 in words is "thirteen trillion, three hundred twenty-one billion, one hundred twenty-three million, thirty-three thousand, one hundred thirteen".