210013 has 6 divisors (see below), whose sum is σ = 220094. Its totient is φ = 200376.

The previous prime is 210011. The next prime is 210019. The reversal of 210013 is 310012.

It can be written as a sum of positive squares in only one way, i.e., 190969 + 19044 = 437^2 + 138^2 .

It is not a de Polignac number, because 210013 - 2^{1} = 210011 is a prime.

It is an Ulam number.

It is a Duffinian number.

210013 is a lucky number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 209978 and 210005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 331 + ... + 727.

2^{210013} is an apocalyptic number.

210013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

210013 is a deficient number, since it is larger than the sum of its proper divisors (10081).

210013 is an equidigital number, since it uses as much as digits as its factorization.

210013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 210013 is about 458.2717534389. The cubic root of 210013 is about 59.4404460259.

Adding to 210013 its reverse (310012), we get a palindrome (520025).

Subtracting 210013 from its reverse (310012), we obtain a palindrome (99999).

The spelling of 210013 in words is "two hundred ten thousand, thirteen".

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