13341322314331 has 16 divisors (see below), whose sum is σ = 15321453747840. Its totient is φ = 11489177790720.

The previous prime is 13341322314329. The next prime is 13341322314373.

13341322314331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13341322314331 - 2¹ = 13341322314329 is a prime.

It is a super-2 number, since 2×13341322314331² (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 (13341322314031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133270 + ... + 5167243.

It is an arithmetic number, because the mean of its divisors is an integer number (957590859240).

Almost surely, 2^{13341322314331} is an apocalyptic number.

13341322314331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13341322314331 is a deficient number, since it is larger than the sum of its proper divisors (1980131433509).

13341322314331 is a wasteful number, since it uses less digits than its factorization.

13341322314331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312586.

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

It can be divided in two parts, 1334132 and 2314331, that added together give a palindrome (3648463).

The spelling of 13341322314331 in words is "thirteen trillion, three hundred forty-one billion, three hundred twenty-two million, three hundred fourteen thousand, three hundred thirty-one".