113311330011 has 24 divisors (see below), whose sum is σ = 178575933744. Its totient is φ = 68664015360.

The previous prime is 113311329997. The next prime is 113311330031. The reversal of 113311330011 is 110033113311.

113311330011 is a `hidden beast` number, since 1 + 1 + 331 + 1 + 330 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 113311330011 - 2¹⁴ = 113311313627 is a prime.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (113311330031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 674595 + ... + 825651.

It is an arithmetic number, because the mean of its divisors is an integer number (7440663906).

Almost surely, 2^113311330011 is an apocalyptic number.

113311330011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113311330011 is a deficient number, since it is larger than the sum of its proper divisors (65264603733).

113311330011 is a wasteful number, since it uses less digits than its factorization.

113311330011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158651 (or 158648 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 113311330011 its reverse (110033113311), we get a palindrome (223344443322).

It can be divided in two parts, 1133113300 and 11, that added together give a palindrome (1133113311).

The spelling of 113311330011 in words is "one hundred thirteen billion, three hundred eleven million, three hundred thirty thousand, eleven".