13305011311 has 8 divisors (see below), whose sum is σ = 13638752064. Its totient is φ = 12971710080.

The previous prime is 13305011261. The next prime is 13305011323. The reversal of 13305011311 is 11311050331.

13305011311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 13305011311 - 2⁷ = 13305011183 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 (13305011341) 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 7 ways as a sum of consecutive naturals, for example, 48150 + ... + 170083.

It is an arithmetic number, because the mean of its divisors is an integer number (1704844008).

Almost surely, 2^13305011311 is an apocalyptic number.

13305011311 is a deficient number, since it is larger than the sum of its proper divisors (333740753).

13305011311 is a wasteful number, since it uses less digits than its factorization.

13305011311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219761.

The product of its (nonzero) digits is 135, while the sum is 19.

Adding to 13305011311 its reverse (11311050331), we get a palindrome (24616061642).

The spelling of 13305011311 in words is "thirteen billion, three hundred five million, eleven thousand, three hundred eleven".