13442311324431 has 24 divisors (see below), whose sum is σ = 21391544949840. Its totient is φ = 8066193408000.

The previous prime is 13442311324417. The next prime is 13442311324439.

13442311324431 is a `hidden beast` number, since 1 + 34 + 42 + 311 + 3 + 244 + 31 = 666.

13442311324431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13442311324431 - 2⁵ = 13442311324399 is a prime.

It is a super-2 number, since 2×13442311324431² (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 (13442311324439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672172786 + ... + 672192783.

It is an arithmetic number, because the mean of its divisors is an integer number (891314372910).

Almost surely, 2^{13442311324431} is an apocalyptic number.

13442311324431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13442311324431 is a deficient number, since it is larger than the sum of its proper divisors (7949233625409).

13442311324431 is a wasteful number, since it uses less digits than its factorization.

13442311324431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344365687 (or 1344365684 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 1344231 and 1324431, that added together give a palindrome (2668662).

The spelling of 13442311324431 in words is "thirteen trillion, four hundred forty-two billion, three hundred eleven million, three hundred twenty-four thousand, four hundred thirty-one".