4006333013 has 2 divisors, whose sum is σ = 4006333014. Its totient is φ = 4006333012.

The previous prime is 4006332997. The next prime is 4006333021. The reversal of 4006333013 is 3103336004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2563700689 + 1442632324 = 50633^2 + 37982^2 .

It is a cyclic number.

It is not a de Polignac number, because 4006333013 - 2⁴ = 4006332997 is a prime.

It is a super-2 number, since 2×4006333013² = 32101408422107316338, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4006333013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4006333213) 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 as a sum of consecutive naturals, namely, 2003166506 + 2003166507.

It is an arithmetic number, because the mean of its divisors is an integer number (2003166507).

Almost surely, 2^4006333013 is an apocalyptic number.

It is an amenable number.

4006333013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4006333013 is an equidigital number, since it uses as much as digits as its factorization.

4006333013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

The square root of 4006333013 is about 63295.6002657373. The cubic root of 4006333013 is about 1588.2383628567.

Adding to 4006333013 its reverse (3103336004), we get a palindrome (7109669017).

The spelling of 4006333013 in words is "four billion, six million, three hundred thirty-three thousand, thirteen".