13211344311231 has 32 divisors (see below), whose sum is σ = 20416412851200. Its totient is φ = 7521836273280.

The previous prime is 13211344311199. The next prime is 13211344311259.

It is a happy number.

13211344311231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13211344311231 - 2⁵ = 13211344311199 is a prime.

It is a super-2 number, since 2×13211344311231² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211344316231) 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 31 ways as a sum of consecutive naturals, for example, 186518071 + ... + 186588888.

It is an arithmetic number, because the mean of its divisors is an integer number (638012901600).

Almost surely, 2^{13211344311231} is an apocalyptic number.

13211344311231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13211344311231 is a deficient number, since it is larger than the sum of its proper divisors (7205068539969).

13211344311231 is a wasteful number, since it uses less digits than its factorization.

13211344311231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373107039.

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 1321134 and 4311231, that added together give a palindrome (5632365).

The spelling of 13211344311231 in words is "thirteen trillion, two hundred eleven billion, three hundred forty-four million, three hundred eleven thousand, two hundred thirty-one".