13331122113331 has 8 divisors (see below), whose sum is σ = 14598339047424. Its totient is φ = 12073121302920.

The previous prime is 13331122113241. The next prime is 13331122113349.

It is a happy number.

13331122113331 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13331122113331 - 2¹⁹ = 13331121589043 is a prime.

It is a super-2 number, since 2×13331122113331² (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 13331122113331.

It is not an unprimeable number, because it can be changed into a prime (13331122113371) 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 7 ways as a sum of consecutive naturals, for example, 2304027891 + ... + 2304033676.

It is an arithmetic number, because the mean of its divisors is an integer number (1824792380928).

Almost surely, 2^{13331122113331} is an apocalyptic number.

13331122113331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13331122113331 is a deficient number, since it is larger than the sum of its proper divisors (1267216934093).

13331122113331 is a wasteful number, since it uses less digits than its factorization.

13331122113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608061841.

The product of its digits is 2916, while the sum is 28.

It can be divided in two parts, 1333112 and 2113331, that added together give a palindrome (3446443).

The spelling of 13331122113331 in words is "thirteen trillion, three hundred thirty-one billion, one hundred twenty-two million, one hundred thirteen thousand, three hundred thirty-one".