200013 has 24 divisors (see below), whose sum is σ = 319200. Its totient is φ = 110880.

The previous prime is 200009. The next prime is 200017. The reversal of 200013 is 310002.

200013 is nontrivially palindromic in base 15.

200013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200009) and next prime (200017).

It is not a de Polignac number, because 200013 - 2² = 200009 is a prime.

200013 is an undulating number in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 199974 and 200010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6883 + ... + 6911.

It is an arithmetic number, because the mean of its divisors is an integer number (13300).

2²⁰⁰⁰¹³ is an apocalyptic number.

It is an amenable number.

200013 is a deficient number, since it is larger than the sum of its proper divisors (119187).

200013 is a wasteful number, since it uses less digits than its factorization.

200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 62 counting only the distinct ones).

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

The square root of 200013 is about 447.2281297056. The cubic root of 200013 is about 58.4816218112.

Adding to 200013 its reverse (310002), we get a palindrome (510015).

The spelling of 200013 in words is "two hundred thousand, thirteen".