113303303311 has 16 divisors (see below), whose sum is σ = 127880583840. Its totient is φ = 99439674880.

The previous prime is 113303303303. The next prime is 113303303329.

113303303311 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 113303303311 - 2³ = 113303303303 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 (113303303371) 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 15 ways as a sum of consecutive naturals, for example, 3933915 + ... + 3962611.

It is an arithmetic number, because the mean of its divisors is an integer number (7992536490).

Almost surely, 2^113303303311 is an apocalyptic number.

113303303311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113303303311 is a deficient number, since it is larger than the sum of its proper divisors (14577280529).

113303303311 is a wasteful number, since it uses less digits than its factorization.

113303303311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41114.

The product of its (nonzero) digits is 729, while the sum is 22.

It can be divided in two parts, 113303 and 303311, that added together give a palindrome (416614).

The spelling of 113303303311 in words is "one hundred thirteen billion, three hundred three million, three hundred three thousand, three hundred eleven".