2013002122321 has 2 divisors, whose sum is σ = 2013002122322. Its totient is φ = 2013002122320.

The previous prime is 2013002122309. The next prime is 2013002122477. The reversal of 2013002122321 is 1232212003102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1892756850625 + 120245271696 = 1375775^2 + 346764^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013002122321 - 2²³ = 2012993733713 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013002122721) 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, 1006501061160 + 1006501061161.

It is an arithmetic number, because the mean of its divisors is an integer number (1006501061161).

Almost surely, 2^{2013002122321} is an apocalyptic number.

It is an amenable number.

2013002122321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013002122321 is an equidigital number, since it uses as much as digits as its factorization.

2013002122321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2013002122321 its reverse (1232212003102), we get a palindrome (3245214125423).

The spelling of 2013002122321 in words is "two trillion, thirteen billion, two million, one hundred twenty-two thousand, three hundred twenty-one".