4200113 has 2 divisors, whose sum is σ = 4200114. Its totient is φ = 4200112.

The previous prime is 4200109. The next prime is 4200127. The reversal of 4200113 is 3110024.

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., 4092529 + 107584 = 2023^2 + 328^2 .

It is a cyclic number.

It is not a de Polignac number, because 4200113 - 2² = 4200109 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 4200094 and 4200103.

It is not a weakly prime, because it can be changed into another prime (4200103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2100056 + 2100057.

It is an arithmetic number, because the mean of its divisors is an integer number (2100057).

Almost surely, 2^4200113 is an apocalyptic number.

It is an amenable number.

4200113 is a deficient number, since it is larger than the sum of its proper divisors (1).

4200113 is an equidigital number, since it uses as much as digits as its factorization.

4200113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 4200113 is about 2049.4177221835. The cubic root of 4200113 is about 161.3443115533.

Adding to 4200113 its reverse (3110024), we get a palindrome (7310137).

The spelling of 4200113 in words is "four million, two hundred thousand, one hundred thirteen".