63113 has 2 divisors, whose sum is σ = 63114. Its totient is φ = 63112.

The previous prime is 63103. The next prime is 63127. The reversal of 63113 is 31136.

Added to its reverse (31136) it gives a square (94249 = 307²).

It is an a-pointer prime, because the next prime (63127) can be obtained adding 63113 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41209 + 21904 = 203^2 + 148^2 .

It is a cyclic number.

It is not a de Polignac number, because 63113 - 2⁴ = 63097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (63103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31556 + 31557.

It is an arithmetic number, because the mean of its divisors is an integer number (31557).

2⁶³¹¹³ is an apocalyptic number.

It is an amenable number.

63113 is a deficient number, since it is larger than the sum of its proper divisors (1).

63113 is an equidigital number, since it uses as much as digits as its factorization.

63113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54, while the sum is 14.

The square root of 63113 is about 251.2230085004. The cubic root of 63113 is about 39.8143479998.

Adding to 63113 its reverse (31136), we get a palindrome (94249).

The spelling of 63113 in words is "sixty-three thousand, one hundred thirteen".