20313 has 12 divisors (see below), whose sum is σ = 30628. Its totient is φ = 12960.

The previous prime is 20297. The next prime is 20323. The reversal of 20313 is 31302.

Adding to 20313 its reverse (31302), we get a palindrome (51615).

It can be divided in two parts, 203 and 13, that added together give a cube (216 = 6^{3}).

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8649 + 11664 = 93^2 + 108^2 .

It is not a de Polignac number, because 20313 - 2^{4} = 20297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 5.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 20295 and 20304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303 + ... + 363.

2^{20313} is an apocalyptic number.

It is an amenable number.

20313 is a deficient number, since it is larger than the sum of its proper divisors (10315).

20313 is a wasteful number, since it uses less digits than its factorization.

20313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 20313 is about 142.5236822426. The cubic root of 20313 is about 27.2850459502.

The spelling of 20313 in words is "twenty thousand, three hundred thirteen".

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