113200120013 has 24 divisors (see below), whose sum is σ = 122649415272. Its totient is φ = 104420286464.

The previous prime is 113200119997. The next prime is 113200120031. The reversal of 113200120013 is 310021002311.

It can be written as a sum of positive squares in 12 ways, for example, as 892694884 + 112307425129 = 29878^2 + 335123^2 .

It is not a de Polignac number, because 113200120013 - 2⁴ = 113200119997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 113200120013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113200120063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16799381 + ... + 16806117.

It is an arithmetic number, because the mean of its divisors is an integer number (5110392303).

Almost surely, 2^113200120013 is an apocalyptic number.

It is an amenable number.

113200120013 is a deficient number, since it is larger than the sum of its proper divisors (9449295259).

113200120013 is a wasteful number, since it uses less digits than its factorization.

113200120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7921 (or 7904 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 113200120013 its reverse (310021002311), we get a palindrome (423221122324).

The spelling of 113200120013 in words is "one hundred thirteen billion, two hundred million, one hundred twenty thousand, thirteen".