2100011011013 has 2 divisors, whose sum is σ = 2100011011014. Its totient is φ = 2100011011012.

The previous prime is 2100011010991. The next prime is 2100011011073. The reversal of 2100011011013 is 3101101100012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1212040259329 + 887970751684 = 1100927^2 + 942322^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100011011013 - 2²⁰ = 2100009962437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100011010985 and 2100011011003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100011011073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050005505506 + 1050005505507.

It is an arithmetic number, because the mean of its divisors is an integer number (1050005505507).

Almost surely, 2^{2100011011013} is an apocalyptic number.

It is an amenable number.

2100011011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100011011013 is an equidigital number, since it uses as much as digits as its factorization.

2100011011013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 2100011011013 its reverse (3101101100012), we get a palindrome (5201112111025).

The spelling of 2100011011013 in words is "two trillion, one hundred billion, eleven million, eleven thousand, thirteen".