10000200013 has 6 divisors (see below), whose sum is σ = 10238173134. Its totient is φ = 9767635416.

The previous prime is 10000199987. The next prime is 10000200017. The reversal of 10000200013 is 31000200001.

It can be written as a sum of positive squares in only one way, i.e., 6773619204 + 3226580809 = 82302^2 + 56803^2 .

It is not a de Polignac number, because 10000200013 - 2²⁵ = 9966645581 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000199969 and 10000200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000200017) 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, 2702370 + ... + 2706067.

It is an arithmetic number, because the mean of its divisors is an integer number (1706362189).

Almost surely, 2^10000200013 is an apocalyptic number.

It is an amenable number.

10000200013 is a deficient number, since it is larger than the sum of its proper divisors (237973121).

10000200013 is an frugal number, since it uses more digits than its factorization.

10000200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5408523 (or 5408480 counting only the distinct ones).

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

Adding to 10000200013 its reverse (31000200001), we get a palindrome (41000400014).

The spelling of 10000200013 in words is "ten billion, two hundred thousand, thirteen".