2120121313 has 2 divisors, whose sum is σ = 2120121314. Its totient is φ = 2120121312.

The previous prime is 2120121293. The next prime is 2120121319. The reversal of 2120121313 is 3131210212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2117104144 + 3017169 = 46012^2 + 1737^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120121313 - 2⁹ = 2120120801 is a prime.

It is not a weakly prime, because it can be changed into another prime (2120121319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060060656 + 1060060657.

It is an arithmetic number, because the mean of its divisors is an integer number (1060060657).

Almost surely, 2^2120121313 is an apocalyptic number.

It is an amenable number.

2120121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120121313 is an equidigital number, since it uses as much as digits as its factorization.

2120121313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2120121313 is about 46044.7750890370. The cubic root of 2120121313 is about 1284.6561607860.

Adding to 2120121313 its reverse (3131210212), we get a palindrome (5251331525).

The spelling of 2120121313 in words is "two billion, one hundred twenty million, one hundred twenty-one thousand, three hundred thirteen".