13434444100341 has 72 divisors (see below), whose sum is σ = 22287705830208. Its totient is φ = 7728807456000.

The previous prime is 13434444100331. The next prime is 13434444100367. The reversal of 13434444100341 is 14300144443431.

13434444100341 is a `hidden beast` number, since 134 + 3 + 44 + 44 + 100 + 341 = 666.

It is not a de Polignac number, because 13434444100341 - 2⁵ = 13434444100309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13434444100296 and 13434444100305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434444100321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4347936 + ... + 6765606.

It is an arithmetic number, because the mean of its divisors is an integer number (309551469864).

Almost surely, 2^{13434444100341} is an apocalyptic number.

13434444100341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13434444100341 is a deficient number, since it is larger than the sum of its proper divisors (8853261729867).

13434444100341 is a wasteful number, since it uses less digits than its factorization.

13434444100341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417803 (or 2417763 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 13434444100341 its reverse (14300144443431), we get a palindrome (27734588543772).

The spelling of 13434444100341 in words is "thirteen trillion, four hundred thirty-four billion, four hundred forty-four million, one hundred thousand, three hundred forty-one".