13505306111 has 16 divisors (see below), whose sum is σ = 15070801920. Its totient is φ = 11998990080.

The previous prime is 13505306093. The next prime is 13505306117. The reversal of 13505306111 is 11160350531.

It is a de Polignac number, because none of the positive numbers 2^k-13505306111 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 (13505306117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21455 + ... + 165743.

It is an arithmetic number, because the mean of its divisors is an integer number (941925120).

Almost surely, 2^13505306111 is an apocalyptic number.

13505306111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13505306111 is a deficient number, since it is larger than the sum of its proper divisors (1565495809).

13505306111 is a wasteful number, since it uses less digits than its factorization.

13505306111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144494.

The product of its (nonzero) digits is 1350, while the sum is 26.

Adding to 13505306111 its reverse (11160350531), we get a palindrome (24665656642).

The spelling of 13505306111 in words is "thirteen billion, five hundred five million, three hundred six thousand, one hundred eleven".