10205113 has 2 divisors, whose sum is σ = 10205114. Its totient is φ = 10205112.

The previous prime is 10205101. The next prime is 10205119. The reversal of 10205113 is 31150201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8363664 + 1841449 = 2892^2 + 1357^2 .

It is a cyclic number.

It is not a de Polignac number, because 10205113 - 2²¹ = 8107961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10205093 and 10205102.

It is not a weakly prime, because it can be changed into another prime (10205119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5102556 + 5102557.

It is an arithmetic number, because the mean of its divisors is an integer number (5102557).

Almost surely, 2^10205113 is an apocalyptic number.

It is an amenable number.

10205113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10205113 is an equidigital number, since it uses as much as digits as its factorization.

10205113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 10205113 is about 3194.5442554455. The cubic root of 10205113 is about 216.9065196543.

Adding to 10205113 its reverse (31150201), we get a palindrome (41355314).

The spelling of 10205113 in words is "ten million, two hundred five thousand, one hundred thirteen".