2113113200117 has 2 divisors, whose sum is σ = 2113113200118. Its totient is φ = 2113113200116.

The previous prime is 2113113200101. The next prime is 2113113200167. The reversal of 2113113200117 is 7110023113112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2068968668881 + 44144531236 = 1438391^2 + 210106^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113113200117 - 2⁴ = 2113113200101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2113113200092 and 2113113200101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2113113200167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056556600058 + 1056556600059.

It is an arithmetic number, because the mean of its divisors is an integer number (1056556600059).

Almost surely, 2^{2113113200117} is an apocalyptic number.

It is an amenable number.

2113113200117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113113200117 is an equidigital number, since it uses as much as digits as its factorization.

2113113200117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 23.

Adding to 2113113200117 its reverse (7110023113112), we get a palindrome (9223136313229).

The spelling of 2113113200117 in words is "two trillion, one hundred thirteen billion, one hundred thirteen million, two hundred thousand, one hundred seventeen".