2120333013 has 6 divisors (see below), whose sum is σ = 3062703254. Its totient is φ = 1413555336.

The previous prime is 2120332957. The next prime is 2120333021. The reversal of 2120333013 is 3103330212.

It can be written as a sum of positive squares in only one way, i.e., 1285007409 + 835325604 = 35847^2 + 28902^2 .

It is not a de Polignac number, because 2120333013 - 2⁸ = 2120332757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120333113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117796270 + ... + 117796287.

Almost surely, 2^2120333013 is an apocalyptic number.

It is an amenable number.

2120333013 is a deficient number, since it is larger than the sum of its proper divisors (942370241).

2120333013 is a wasteful number, since it uses less digits than its factorization.

2120333013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235592563 (or 235592560 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2120333013 is about 46047.0738809753. The cubic root of 2120333013 is about 1284.6989181912.

Adding to 2120333013 its reverse (3103330212), we get a palindrome (5223663225).

The spelling of 2120333013 in words is "two billion, one hundred twenty million, three hundred thirty-three thousand, thirteen".