113040200013 has 32 divisors (see below), whose sum is σ = 166179697152. Its totient is φ = 67923187200.

The previous prime is 113040199957. The next prime is 113040200041. The reversal of 113040200013 is 310002040311.

It is not a de Polignac number, because 113040200013 - 2⁶ = 113040199949 is a prime.

It is a super-3 number, since 3×113040200013³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113040199965 and 113040200001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113040200083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152508 + ... + 499338.

It is an arithmetic number, because the mean of its divisors is an integer number (5193115536).

Almost surely, 2^113040200013 is an apocalyptic number.

113040200013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113040200013 is a deficient number, since it is larger than the sum of its proper divisors (53139497139).

113040200013 is a wasteful number, since it uses less digits than its factorization.

113040200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347045.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 113040200013 its reverse (310002040311), we get a palindrome (423042240324).

The spelling of 113040200013 in words is "one hundred thirteen billion, forty million, two hundred thousand, thirteen".