13424311342431 has 24 divisors (see below), whose sum is σ = 21153625384320. Its totient is φ = 8135882773200.

The previous prime is 13424311342261. The next prime is 13424311342447.

13424311342431 is a `hidden beast` number, since 1 + 3 + 42 + 431 + 134 + 24 + 31 = 666.

13424311342431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13424311342431 - 2¹⁰ = 13424311341407 is a prime.

It is a super-2 number, since 2×13424311342431² (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 (13424311342451) 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, 14312196 + ... + 15221286.

It is an arithmetic number, because the mean of its divisors is an integer number (881401057680).

Almost surely, 2^{13424311342431} is an apocalyptic number.

13424311342431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13424311342431 is a deficient number, since it is larger than the sum of its proper divisors (7729314041889).

13424311342431 is a wasteful number, since it uses less digits than its factorization.

13424311342431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058267 (or 1058264 counting only the distinct ones).

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

It can be divided in two parts, 1342431 and 1342431, that added together give a palindrome (2684862).

The spelling of 13424311342431 in words is "thirteen trillion, four hundred twenty-four billion, three hundred eleven million, three hundred forty-two thousand, four hundred thirty-one".