2102011013 has 2 divisors, whose sum is σ = 2102011014. Its totient is φ = 2102011012.

The previous prime is 2102011003. The next prime is 2102011039. The reversal of 2102011013 is 3101102012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2095625284 + 6385729 = 45778^2 + 2527^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102011013 - 2¹⁰ = 2102009989 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2102010985 and 2102011003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102011003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051005506 + 1051005507.

It is an arithmetic number, because the mean of its divisors is an integer number (1051005507).

Almost surely, 2^2102011013 is an apocalyptic number.

It is an amenable number.

2102011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102011013 is an equidigital number, since it uses as much as digits as its factorization.

2102011013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2102011013 is about 45847.6936497355. The cubic root of 2102011013 is about 1280.9878062161.

Adding to 2102011013 its reverse (3101102012), we get a palindrome (5203113025).

Subtracting 2102011013 from its reverse (3101102012), we obtain a palindrome (999090999).

The spelling of 2102011013 in words is "two billion, one hundred two million, eleven thousand, thirteen".