113302211013 has 12 divisors (see below), whose sum is σ = 163690576140. Its totient is φ = 75520118016.

The previous prime is 113302210993. The next prime is 113302211017. The reversal of 113302211013 is 310112203311.

113302211013 is a `hidden beast` number, since 11 + 330 + 221 + 101 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101227058244 + 12075152769 = 318162^2 + 109887^2 .

It is not a de Polignac number, because 113302211013 - 2⁶ = 113302210949 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113302211017) 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 11 ways as a sum of consecutive naturals, for example, 1175158 + ... + 1267911.

It is an arithmetic number, because the mean of its divisors is an integer number (13640881345).

Almost surely, 2^113302211013 is an apocalyptic number.

It is an amenable number.

113302211013 is a deficient number, since it is larger than the sum of its proper divisors (50388365127).

113302211013 is a wasteful number, since it uses less digits than its factorization.

113302211013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448228 (or 2448225 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113302211013 its reverse (310112203311), we get a palindrome (423414414324).

The spelling of 113302211013 in words is "one hundred thirteen billion, three hundred two million, two hundred eleven thousand, thirteen".