200100013 has 4 divisors (see below), whose sum is σ = 211870620. Its totient is φ = 188329408.

The previous prime is 200100007. The next prime is 200100031. The reversal of 200100013 is 310001002.

200100013 = 10002² + 10003².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 100060009 + 100040004 = 10003^2 + 10002^2 .

It is a cyclic number.

It is not a de Polignac number, because 200100013 - 2⁵ = 200099981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200099969 and 200100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200100053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5885278 + ... + 5885311.

It is an arithmetic number, because the mean of its divisors is an integer number (52967655).

Almost surely, 2^200100013 is an apocalyptic number.

200100013 is the 10003-rd centered square number.

It is an amenable number.

200100013 is a deficient number, since it is larger than the sum of its proper divisors (11770607).

200100013 is a wasteful number, since it uses less digits than its factorization.

200100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11770606.

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

The square root of 200100013 is about 14145.6711753101. The cubic root of 200100013 is about 584.9010113270.

Adding to 200100013 its reverse (310001002), we get a palindrome (510101015).

The spelling of 200100013 in words is "two hundred million, one hundred thousand, thirteen".