200200020210013 has 2 divisors, whose sum is σ = 200200020210014. Its totient is φ = 200200020210012.

The previous prime is 200200020210007. The next prime is 200200020210023. The reversal of 200200020210013 is 310012020002002.

200200020210013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 144182025486724 + 56017994723289 = 12007582^2 + 7484517^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-200200020210013 is a prime.

It is a super-2 number, since 2×200200020210013² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200200020209975 and 200200020210002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200200020210023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100100010105006 + 100100010105007.

It is an arithmetic number, because the mean of its divisors is an integer number (100100010105007).

Almost surely, 2^{200200020210013} is an apocalyptic number.

It is an amenable number.

200200020210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

200200020210013 is an equidigital number, since it uses as much as digits as its factorization.

200200020210013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 200200020210013 its reverse (310012020002002), we get a palindrome (510212040212015).

The spelling of 200200020210013 in words is "two hundred trillion, two hundred billion, twenty million, two hundred ten thousand, thirteen".