13434801114801 has 16 divisors (see below), whose sum is σ = 19543152927168. Its totient is φ = 8141627025600.

The previous prime is 13434801114781. The next prime is 13434801114803. The reversal of 13434801114801 is 10841110843431.

It is not a de Polignac number, because 13434801114801 - 2¹⁴ = 13434801098417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13434801114801.

It is not an unprimeable number, because it can be changed into a prime (13434801114803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16513770 + ... + 17308211.

It is an arithmetic number, because the mean of its divisors is an integer number (1221447057948).

Almost surely, 2^{13434801114801} is an apocalyptic number.

13434801114801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13434801114801 is a deficient number, since it is larger than the sum of its proper divisors (6108351812367).

13434801114801 is a wasteful number, since it uses less digits than its factorization.

13434801114801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33834032.

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 13434801114801 in words is "thirteen trillion, four hundred thirty-four billion, eight hundred one million, one hundred fourteen thousand, eight hundred one".