13434233243431 has 192 divisors, whose sum is σ = 19730218844160. Its totient is φ = 8852276160000.

The previous prime is 13434233243419. The next prime is 13434233243441.

13434233243431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13434233243431 - 2¹⁵ = 13434233210663 is a prime.

It is a super-2 number, since 2×13434233243431² (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 (13434233243411) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1073787466 + ... + 1073799976.

It is an arithmetic number, because the mean of its divisors is an integer number (102761556480).

Almost surely, 2^{13434233243431} is an apocalyptic number.

13434233243431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13434233243431 is a deficient number, since it is larger than the sum of its proper divisors (6295985600729).

13434233243431 is a wasteful number, since it uses less digits than its factorization.

13434233243431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12718 (or 12705 counting only the distinct ones).

The product of its digits is 746496, while the sum is 40.

It can be divided in two parts, 1343423 and 3243431, that added together give a palindrome (4586854).

The spelling of 13434233243431 in words is "thirteen trillion, four hundred thirty-four billion, two hundred thirty-three million, two hundred forty-three thousand, four hundred thirty-one".