4013033201 has 2 divisors, whose sum is σ = 4013033202. Its totient is φ = 4013033200.

The previous prime is 4013033177. The next prime is 4013033203. The reversal of 4013033201 is 1023303104.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3946854976 + 66178225 = 62824^2 + 8135^2 .

It is a cyclic number.

It is not a de Polignac number, because 4013033201 - 2¹⁸ = 4012771057 is a prime.

It is a super-2 number, since 2×4013033201² = 32208870944656612802, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 4013033203, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4013033201.

It is not a weakly prime, because it can be changed into another prime (4013033203) 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, 2006516600 + 2006516601.

It is an arithmetic number, because the mean of its divisors is an integer number (2006516601).

Almost surely, 2^4013033201 is an apocalyptic number.

It is an amenable number.

4013033201 is a deficient number, since it is larger than the sum of its proper divisors (1).

4013033201 is an equidigital number, since it uses as much as digits as its factorization.

4013033201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 4013033201 is about 63348.5059097687. The cubic root of 4013033201 is about 1589.1232592457.

Adding to 4013033201 its reverse (1023303104), we get a palindrome (5036336305).

The spelling of 4013033201 in words is "four billion, thirteen million, thirty-three thousand, two hundred one".