2000113 has 2 divisors, whose sum is σ = 2000114. Its totient is φ = 2000112.

The previous prime is 2000107. The next prime is 2000143. The reversal of 2000113 is 3110002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1065024 + 935089 = 1032^2 + 967^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000113 - 2⁵ = 2000081 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2000096 and 2000105.

It is not a weakly prime, because it can be changed into another prime (2000143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000056 + 1000057.

It is an arithmetic number, because the mean of its divisors is an integer number (1000057).

2^2000113 is an apocalyptic number.

It is an amenable number.

2000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000113 is an equidigital number, since it uses as much as digits as its factorization.

2000113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 2000113 is about 1414.2535133419. The cubic root of 2000113 is about 125.9944777961.

Adding to 2000113 its reverse (3110002), we get a palindrome (5110115).

The spelling of 2000113 in words is "two million, one hundred thirteen", and thus it is an aban number.