13331422413331 has 16 divisors (see below), whose sum is σ = 15013695891456. Its totient is φ = 11727598320000.

The previous prime is 13331422413311. The next prime is 13331422413343.

13331422413331 is nontrivially palindromic in base 10.

13331422413331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13331422413331 - 2⁷ = 13331422413203 is a prime.

It is a super-2 number, since 2×13331422413331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13331422413311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2801226 + ... + 5874496.

It is an arithmetic number, because the mean of its divisors is an integer number (938355993216).

Almost surely, 2^{13331422413331} is an apocalyptic number.

13331422413331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13331422413331 is a deficient number, since it is larger than the sum of its proper divisors (1682273478125).

13331422413331 is a wasteful number, since it uses less digits than its factorization.

13331422413331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086034.

The product of its digits is 46656, while the sum is 34.

It can be divided in two parts, 1333142 and 2413331, that added together give a palindrome (3746473).

The spelling of 13331422413331 in words is "thirteen trillion, three hundred thirty-one billion, four hundred twenty-two million, four hundred thirteen thousand, three hundred thirty-one".