113133133113 has 64 divisors (see below), whose sum is σ = 213191731200. Its totient is φ = 51394383360.

The previous prime is 113133133103. The next prime is 113133133229. The reversal of 113133133113 is 311331331311.

It is not a de Polignac number, because 113133133113 - 2⁵ = 113133133081 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113133133103) 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 63 ways as a sum of consecutive naturals, for example, 934348 + ... + 1048461.

It is an arithmetic number, because the mean of its divisors is an integer number (3331120800).

Almost surely, 2^113133133113 is an apocalyptic number.

113133133113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113133133113 is a deficient number, since it is larger than the sum of its proper divisors (100058598087).

113133133113 is a wasteful number, since it uses less digits than its factorization.

113133133113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982862.

The product of its digits is 729, while the sum is 24.

Adding to 113133133113 its reverse (311331331311), we get a palindrome (424464464424).

The spelling of 113133133113 in words is "one hundred thirteen billion, one hundred thirty-three million, one hundred thirty-three thousand, one hundred thirteen".