113201100013 has 2 divisors, whose sum is σ = 113201100014. Its totient is φ = 113201100012.

The previous prime is 113201099969. The next prime is 113201100041. The reversal of 113201100013 is 310001102311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110764492969 + 2436607044 = 332813^2 + 49362^2 .

It is an emirp because it is prime and its reverse (310001102311) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113201100013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113201099966 and 113201100002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113201100053) 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 as a sum of consecutive naturals, namely, 56600550006 + 56600550007.

It is an arithmetic number, because the mean of its divisors is an integer number (56600550007).

Almost surely, 2^113201100013 is an apocalyptic number.

It is an amenable number.

113201100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113201100013 is an equidigital number, since it uses as much as digits as its factorization.

113201100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 113201100013 its reverse (310001102311), we get a palindrome (423202202324).

The spelling of 113201100013 in words is "one hundred thirteen billion, two hundred one million, one hundred thousand, thirteen".