113312123033101 has 2 divisors, whose sum is σ = 113312123033102. Its totient is φ = 113312123033100.

The previous prime is 113312123033089. The next prime is 113312123033111. The reversal of 113312123033101 is 101330321213311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77555322902500 + 35756800130601 = 8806550^2 + 5979699^2 .

It is a cyclic number.

It is not a de Polignac number, because 113312123033101 - 2⁵ = 113312123033069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113312123033111) 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, 56656061516550 + 56656061516551.

It is an arithmetic number, because the mean of its divisors is an integer number (56656061516551).

Almost surely, 2^{113312123033101} is an apocalyptic number.

It is an amenable number.

113312123033101 is a deficient number, since it is larger than the sum of its proper divisors (1).

113312123033101 is an equidigital number, since it uses as much as digits as its factorization.

113312123033101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 113312123033101 its reverse (101330321213311), we get a palindrome (214642444246412).

The spelling of 113312123033101 in words is "one hundred thirteen trillion, three hundred twelve billion, one hundred twenty-three million, thirty-three thousand, one hundred one".