2013020033 has 2 divisors, whose sum is σ = 2013020034. Its totient is φ = 2013020032.

The previous prime is 2013020029. The next prime is 2013020047. The reversal of 2013020033 is 3300203102.

It is an a-pointer prime, because the next prime (2013020047) can be obtained adding 2013020033 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1727815489 + 285204544 = 41567^2 + 16888^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013020033 - 2² = 2013020029 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013020063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006510016 + 1006510017.

It is an arithmetic number, because the mean of its divisors is an integer number (1006510017).

Almost surely, 2^2013020033 is an apocalyptic number.

It is an amenable number.

2013020033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013020033 is an equidigital number, since it uses as much as digits as its factorization.

2013020033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2013020033 is about 44866.6917991510. The cubic root of 2013020033 is about 1262.6491739950.

Adding to 2013020033 its reverse (3300203102), we get a palindrome (5313223135).

The spelling of 2013020033 in words is "two billion, thirteen million, twenty thousand, thirty-three".