113201132013 has 16 divisors (see below), whose sum is σ = 167734611840. Its totient is φ = 75454267392.

The previous prime is 113201131997. The next prime is 113201132087. The reversal of 113201132013 is 310231102311.

113201132013 is a `hidden beast` number, since 1 + 1 + 320 + 11 + 320 + 13 = 666.

It is not a de Polignac number, because 113201132013 - 2⁴ = 113201131997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113201132413) 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 15 ways as a sum of consecutive naturals, for example, 206356 + ... + 518637.

It is an arithmetic number, because the mean of its divisors is an integer number (10483413240).

Almost surely, 2^113201132013 is an apocalyptic number.

It is an amenable number.

113201132013 is a deficient number, since it is larger than the sum of its proper divisors (54533479827).

113201132013 is an equidigital number, since it uses as much as digits as its factorization.

113201132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730785 (or 730779 counting only the distinct ones).

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

Adding to 113201132013 its reverse (310231102311), we get a palindrome (423432234324).

The spelling of 113201132013 in words is "one hundred thirteen billion, two hundred one million, one hundred thirty-two thousand, thirteen".