13305406503301 has 8 divisors (see below), whose sum is σ = 14515034461344. Its totient is φ = 12095786136720.

The previous prime is 13305406503293. The next prime is 13305406503329. The reversal of 13305406503301 is 10330560450331.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13305406503301 - 2³ = 13305406503293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13305406503901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2140446 + ... + 5585008.

It is an arithmetic number, because the mean of its divisors is an integer number (1814379307668).

Almost surely, 2^{13305406503301} is an apocalyptic number.

13305406503301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13305406503301 is a deficient number, since it is larger than the sum of its proper divisors (1209627958043).

13305406503301 is a wasteful number, since it uses less digits than its factorization.

13305406503301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795731.

The product of its (nonzero) digits is 48600, while the sum is 34.

Adding to 13305406503301 its reverse (10330560450331), we get a palindrome (23635966953632).

The spelling of 13305406503301 in words is "thirteen trillion, three hundred five billion, four hundred six million, five hundred three thousand, three hundred one".