2042120033 has 2 divisors, whose sum is σ = 2042120034. Its totient is φ = 2042120032.

The previous prime is 2042120027. The next prime is 2042120039. The reversal of 2042120033 is 3300212402.

It is a balanced prime because it is at equal distance from previous prime (2042120027) and next prime (2042120039).

It can be written as a sum of positive squares in only one way, i.e., 1229413969 + 812706064 = 35063^2 + 28508^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042120033 - 2⁸ = 2042119777 is a prime.

It is a super-3 number, since 3×2042120033³ (a number of 29 digits) contains 333 as substring.

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 = 2042119993 and 2042120020.

It is not a weakly prime, because it can be changed into another prime (2042120039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1021060016 + 1021060017.

It is an arithmetic number, because the mean of its divisors is an integer number (1021060017).

Almost surely, 2^2042120033 is an apocalyptic number.

It is an amenable number.

2042120033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042120033 is an equidigital number, since it uses as much as digits as its factorization.

2042120033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2042120033 is about 45189.8222280194. The cubic root of 2042120033 is about 1268.7043294876.

Adding to 2042120033 its reverse (3300212402), we get a palindrome (5342332435).

The spelling of 2042120033 in words is "two billion, forty-two million, one hundred twenty thousand, thirty-three".