63313 has 2 divisors, whose sum is σ = 63314. Its totient is φ = 63312.

The previous prime is 63311. The next prime is 63317. The reversal of 63313 is 31336.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61009 + 2304 = 247^2 + 48^2 .

63313 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 63313 - 2¹ = 63311 is a prime.

Together with 63311, it forms a pair of twin primes.

It is equal to p₆₃₄₃ and since 63313 and 6343 have the same sum of digits, it is a Honaker prime.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (63311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31656 + 31657.

It is an arithmetic number, because the mean of its divisors is an integer number (31657).

2⁶³³¹³ is an apocalyptic number.

It is an amenable number.

63313 is a deficient number, since it is larger than the sum of its proper divisors (1).

63313 is an equidigital number, since it uses as much as digits as its factorization.

63313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 162, while the sum is 16.

The square root of 63313 is about 251.6207463625. The cubic root of 63313 is about 39.8563598048.

Adding to 63313 its reverse (31336), we get a palindrome (94649).

It can be divided in two parts, 633 and 13, that added together give a palindrome (646).

The spelling of 63313 in words is "sixty-three thousand, three hundred thirteen".