202116113 has 2 divisors, whose sum is σ = 202116114. Its totient is φ = 202116112.

The previous prime is 202116071. The next prime is 202116127. The reversal of 202116113 is 311611202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 177235969 + 24880144 = 13313^2 + 4988^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-202116113 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 202116091 and 202116100.

It is not a weakly prime, because it can be changed into another prime (202116913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101058056 + 101058057.

It is an arithmetic number, because the mean of its divisors is an integer number (101058057).

Almost surely, 2^202116113 is an apocalyptic number.

It is an amenable number.

202116113 is a deficient number, since it is larger than the sum of its proper divisors (1).

202116113 is an equidigital number, since it uses as much as digits as its factorization.

202116113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 202116113 is about 14216.7546577973. The cubic root of 202116113 is about 586.8588332182.

Adding to 202116113 its reverse (311611202), we get a palindrome (513727315).

The spelling of 202116113 in words is "two hundred two million, one hundred sixteen thousand, one hundred thirteen".