2000201818213 has 2 divisors, whose sum is σ = 2000201818214. Its totient is φ = 2000201818212.

The previous prime is 2000201818193. The next prime is 2000201818229. The reversal of 2000201818213 is 3128181020002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1723491101124 + 276710717089 = 1312818^2 + 526033^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000201818213 - 2¹³ = 2000201810021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000201816213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000100909106 + 1000100909107.

It is an arithmetic number, because the mean of its divisors is an integer number (1000100909107).

Almost surely, 2^{2000201818213} is an apocalyptic number.

It is an amenable number.

2000201818213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000201818213 is an equidigital number, since it uses as much as digits as its factorization.

2000201818213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 28.

Adding to 2000201818213 its reverse (3128181020002), we get a palindrome (5128382838215).

The spelling of 2000201818213 in words is "two trillion, two hundred one million, eight hundred eighteen thousand, two hundred thirteen".