4005321331201 has 2 divisors, whose sum is σ = 4005321331202. Its totient is φ = 4005321331200.

The previous prime is 4005321331183. The next prime is 4005321331243. The reversal of 4005321331201 is 1021331235004.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3238560160000 + 766761171201 = 1799600^2 + 875649^2 .

It is a cyclic number.

It is not a de Polignac number, because 4005321331201 - 2¹³ = 4005321323009 is a prime.

It is a super-2 number, since 2×4005321331201² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4005321331001) 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, 2002660665600 + 2002660665601.

It is an arithmetic number, because the mean of its divisors is an integer number (2002660665601).

Almost surely, 2^{4005321331201} is an apocalyptic number.

It is an amenable number.

4005321331201 is a deficient number, since it is larger than the sum of its proper divisors (1).

4005321331201 is an equidigital number, since it uses as much as digits as its factorization.

4005321331201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 4005321331201 its reverse (1021331235004), we get a palindrome (5026652566205).

The spelling of 4005321331201 in words is "four trillion, five billion, three hundred twenty-one million, three hundred thirty-one thousand, two hundred one".