113120102013 has 16 divisors (see below), whose sum is σ = 151672753152. Its totient is φ = 74990720000.

The previous prime is 113120102003. The next prime is 113120102027. The reversal of 113120102013 is 310201021311.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 113120102013 - 2²¹ = 113118004861 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113120101983 and 113120102001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113120102003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1569733 + ... + 1640213.

It is an arithmetic number, because the mean of its divisors is an integer number (9479547072).

Almost surely, 2^113120102013 is an apocalyptic number.

It is an amenable number.

113120102013 is a deficient number, since it is larger than the sum of its proper divisors (38552651139).

113120102013 is a wasteful number, since it uses less digits than its factorization.

113120102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73476.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 113120102013 its reverse (310201021311), we get a palindrome (423321123324).

The spelling of 113120102013 in words is "one hundred thirteen billion, one hundred twenty million, one hundred two thousand, thirteen".