2133013021 has 2 divisors, whose sum is σ = 2133013022. Its totient is φ = 2133013020.

The previous prime is 2133013019. The next prime is 2133013039. The reversal of 2133013021 is 1203103312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1631028996 + 501984025 = 40386^2 + 22405^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133013021 - 2¹ = 2133013019 is a prime.

Together with 2133013019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2133012986 and 2133013004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2133013081) 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, 1066506510 + 1066506511.

It is an arithmetic number, because the mean of its divisors is an integer number (1066506511).

Almost surely, 2^2133013021 is an apocalyptic number.

It is an amenable number.

2133013021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133013021 is an equidigital number, since it uses as much as digits as its factorization.

2133013021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2133013021 is about 46184.5539222801. The cubic root of 2133013021 is about 1287.2547474665.

Adding to 2133013021 its reverse (1203103312), we get a palindrome (3336116333).

The spelling of 2133013021 in words is "two billion, one hundred thirty-three million, thirteen thousand, twenty-one".