13434044432031 has 96 divisors (see below), whose sum is σ = 20374476595200. Its totient is φ = 8519777925120.

The previous prime is 13434044431961. The next prime is 13434044432041. The reversal of 13434044432031 is 13023444043431.

13434044432031 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 4 + 0 + 4 + 443 + 203 + 1 = 666.

It is not a de Polignac number, because 13434044432031 - 2¹⁴ = 13434044415647 is a prime.

It is a super-2 number, since 2×13434044432031² (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 (13434044432041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2710113405 + ... + 2710118361.

It is an arithmetic number, because the mean of its divisors is an integer number (212234131200).

Almost surely, 2^{13434044432031} is an apocalyptic number.

13434044432031 is a deficient number, since it is larger than the sum of its proper divisors (6940432163169).

13434044432031 is a wasteful number, since it uses less digits than its factorization.

13434044432031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5749 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 13434044432031 its reverse (13023444043431), we get a palindrome (26457488475462).

The spelling of 13434044432031 in words is "thirteen trillion, four hundred thirty-four billion, forty-four million, four hundred thirty-two thousand, thirty-one".