11113333331111 has 32 divisors (see below), whose sum is σ = 12481741958400. Its totient is φ = 9809971142400.

The previous prime is 11113333331081. The next prime is 11113333331117.

11113333331111 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-11113333331111 is a prime.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11113333331117) 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 31 ways as a sum of consecutive naturals, for example, 13999235 + ... + 14771771.

It is an arithmetic number, because the mean of its divisors is an integer number (390054436200).

Almost surely, 2^{11113333331111} is an apocalyptic number.

11113333331111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11113333331111 is a deficient number, since it is larger than the sum of its proper divisors (1368408627289).

11113333331111 is a wasteful number, since it uses less digits than its factorization.

11113333331111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772895.

The product of its digits is 729, while the sum is 26.

It can be divided in two parts, 1111333 and 3331111, that added together give a palindrome (4442444).

The spelling of 11113333331111 in words is "eleven trillion, one hundred thirteen billion, three hundred thirty-three million, three hundred thirty-one thousand, one hundred eleven".