113312002213001 has 2 divisors, whose sum is σ = 113312002213002. Its totient is φ = 113312002213000.

The previous prime is 113312002212991. The next prime is 113312002213013. The reversal of 113312002213001 is 100312200213311.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58573016196601 + 54738986016400 = 7653301^2 + 7398580^2 .

It is an emirp because it is prime and its reverse (100312200213311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113312002213001 - 2³⁰ = 113310928471177 is a prime.

It is not a weakly prime, because it can be changed into another prime (113312002213051) 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 as a sum of consecutive naturals, namely, 56656001106500 + 56656001106501.

It is an arithmetic number, because the mean of its divisors is an integer number (56656001106501).

Almost surely, 2^{113312002213001} is an apocalyptic number.

It is an amenable number.

113312002213001 is a deficient number, since it is larger than the sum of its proper divisors (1).

113312002213001 is an equidigital number, since it uses as much as digits as its factorization.

113312002213001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 113312002213001 its reverse (100312200213311), we get a palindrome (213624202426312).

The spelling of 113312002213001 in words is "one hundred thirteen trillion, three hundred twelve billion, two million, two hundred thirteen thousand, one".