113334433311 has 128 divisors (see below), whose sum is σ = 180034928640. Its totient is φ = 62726400000.

The previous prime is 113334433297. The next prime is 113334433319.

113334433311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113334433311 - 2⁷ = 113334433183 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 (113334433319) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 418208106 + ... + 418208376.

It is an arithmetic number, because the mean of its divisors is an integer number (1406522880).

Almost surely, 2^113334433311 is an apocalyptic number.

113334433311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113334433311 is a deficient number, since it is larger than the sum of its proper divisors (66700495329).

113334433311 is a wasteful number, since it uses less digits than its factorization.

113334433311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 113334 and 433311, that added together give a palindrome (546645).

The spelling of 113334433311 in words is "one hundred thirteen billion, three hundred thirty-four million, four hundred thirty-three thousand, three hundred eleven".