103200113 has 2 divisors, whose sum is σ = 103200114. Its totient is φ = 103200112.

The previous prime is 103200101. The next prime is 103200121. The reversal of 103200113 is 311002301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66863329 + 36336784 = 8177^2 + 6028^2 .

It is a cyclic number.

It is not a de Polignac number, because 103200113 - 2⁶ = 103200049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103200094 and 103200103.

It is not a weakly prime, because it can be changed into another prime (103200193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51600056 + 51600057.

It is an arithmetic number, because the mean of its divisors is an integer number (51600057).

Almost surely, 2^103200113 is an apocalyptic number.

It is an amenable number.

103200113 is a deficient number, since it is larger than the sum of its proper divisors (1).

103200113 is an equidigital number, since it uses as much as digits as its factorization.

103200113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 103200113 is about 10158.7456410720. The cubic root of 103200113 is about 469.0581909754.

Adding to 103200113 its reverse (311002301), we get a palindrome (414202414).

The spelling of 103200113 in words is "one hundred three million, two hundred thousand, one hundred thirteen".