113321123323201 has 2 divisors, whose sum is σ = 113321123323202. Its totient is φ = 113321123323200.

The previous prime is 113321123323181. The next prime is 113321123323241. The reversal of 113321123323201 is 102323321123311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80839969121025 + 32481154202176 = 8991105^2 + 5699224^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113321123323201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 113321123323201.

It is not a weakly prime, because it can be changed into another prime (113321123323241) 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 as a sum of consecutive naturals, namely, 56660561661600 + 56660561661601.

It is an arithmetic number, because the mean of its divisors is an integer number (56660561661601).

Almost surely, 2^{113321123323201} is an apocalyptic number.

It is an amenable number.

113321123323201 is a deficient number, since it is larger than the sum of its proper divisors (1).

113321123323201 is an equidigital number, since it uses as much as digits as its factorization.

113321123323201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 113321123323201 its reverse (102323321123311), we get a palindrome (215644444446512).

The spelling of 113321123323201 in words is "one hundred thirteen trillion, three hundred twenty-one billion, one hundred twenty-three million, three hundred twenty-three thousand, two hundred one".