2013321001 has 2 divisors, whose sum is σ = 2013321002. Its totient is φ = 2013321000.

The previous prime is 2013320987. The next prime is 2013321047. The reversal of 2013321001 is 1001233102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1833894976 + 179426025 = 42824^2 + 13395^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013321001 - 2⁷ = 2013320873 is a prime.

It is a super-2 number, since 2×2013321001² = 8106922906135284002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2013321061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006660500 + 1006660501.

It is an arithmetic number, because the mean of its divisors is an integer number (1006660501).

Almost surely, 2^2013321001 is an apocalyptic number.

It is an amenable number.

2013321001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013321001 is an equidigital number, since it uses as much as digits as its factorization.

2013321001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2013321001 is about 44870.0456986618. The cubic root of 2013321001 is about 1262.7120973727.

Adding to 2013321001 its reverse (1001233102), we get a palindrome (3014554103).

The spelling of 2013321001 in words is "two billion, thirteen million, three hundred twenty-one thousand, one".