13424431310433 has 192 divisors, whose sum is σ = 23681582136576. Its totient is φ = 7218865152000.

The previous prime is 13424431310383. The next prime is 13424431310449. The reversal of 13424431310433 is 33401313442431.

13424431310433 is a `hidden beast` number, since 1 + 3 + 42 + 443 + 131 + 0 + 43 + 3 = 666.

It is not a de Polignac number, because 13424431310433 - 2⁸ = 13424431310177 is a prime.

It is a super-2 number, since 2×13424431310433² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13424431318433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6675499398 + ... + 6675501408.

It is an arithmetic number, because the mean of its divisors is an integer number (123341573628).

Almost surely, 2^{13424431310433} is an apocalyptic number.

13424431310433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13424431310433 is a deficient number, since it is larger than the sum of its proper divisors (10257150826143).

13424431310433 is a wasteful number, since it uses less digits than its factorization.

13424431310433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 13424431310433 its reverse (33401313442431), we get a palindrome (46825744752864).

The spelling of 13424431310433 in words is "thirteen trillion, four hundred twenty-four billion, four hundred thirty-one million, three hundred ten thousand, four hundred thirty-three".