2120813213 has 2 divisors, whose sum is σ = 2120813214. Its totient is φ = 2120813212.

The previous prime is 2120813207. The next prime is 2120813221. The reversal of 2120813213 is 3123180212.

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., 1622720089 + 498093124 = 40283^2 + 22318^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120813213 - 2¹⁰ = 2120812189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120813263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060406606 + 1060406607.

It is an arithmetic number, because the mean of its divisors is an integer number (1060406607).

Almost surely, 2^2120813213 is an apocalyptic number.

It is an amenable number.

2120813213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120813213 is an equidigital number, since it uses as much as digits as its factorization.

2120813213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2120813213 is about 46052.2878150478. The cubic root of 2120813213 is about 1284.7958944446.

Adding to 2120813213 its reverse (3123180212), we get a palindrome (5243993425).

The spelling of 2120813213 in words is "two billion, one hundred twenty million, eight hundred thirteen thousand, two hundred thirteen".