2000211130013 has 2 divisors, whose sum is σ = 2000211130014. Its totient is φ = 2000211130012.

The previous prime is 2000211129929. The next prime is 2000211130031. The reversal of 2000211130013 is 3100311120002.

Together with next prime (2000211130031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1769852408164 + 230358721849 = 1330358^2 + 479957^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000211130013 - 2²⁰ = 2000210081437 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2000211130013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000211430013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000105565006 + 1000105565007.

It is an arithmetic number, because the mean of its divisors is an integer number (1000105565007).

Almost surely, 2^{2000211130013} is an apocalyptic number.

It is an amenable number.

2000211130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000211130013 is an equidigital number, since it uses as much as digits as its factorization.

2000211130013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 2000211130013 its reverse (3100311120002), we get a palindrome (5100522250015).

The spelling of 2000211130013 in words is "two trillion, two hundred eleven million, one hundred thirty thousand, thirteen".