2021311013 has 2 divisors, whose sum is σ = 2021311014. Its totient is φ = 2021311012.

The previous prime is 2021310989. The next prime is 2021311021. The reversal of 2021311013 is 3101131202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1231869604 + 789441409 = 35098^2 + 28097^2 .

It is a cyclic number.

It is not a de Polignac number, because 2021311013 - 2²⁰ = 2020262437 is a prime.

It is a super-2 number, since 2×2021311013² = 8171396422550172338, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2021311043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1010655506 + 1010655507.

It is an arithmetic number, because the mean of its divisors is an integer number (1010655507).

Almost surely, 2^2021311013 is an apocalyptic number.

It is an amenable number.

2021311013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2021311013 is an equidigital number, since it uses as much as digits as its factorization.

2021311013 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.

The square root of 2021311013 is about 44958.9925710085. The cubic root of 2021311013 is about 1264.3802810568.

Adding to 2021311013 its reverse (3101131202), we get a palindrome (5122442215).

The spelling of 2021311013 in words is "two billion, twenty-one million, three hundred eleven thousand, thirteen".