2211001321013 has 2 divisors, whose sum is σ = 2211001321014. Its totient is φ = 2211001321012.

The previous prime is 2211001321003. The next prime is 2211001321069. The reversal of 2211001321013 is 3101231001122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2170194492964 + 40806828049 = 1473158^2 + 202007^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211001321013 - 2³⁶ = 2142281844277 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2211001320982 and 2211001321000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2211001321003) 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, 1105500660506 + 1105500660507.

It is an arithmetic number, because the mean of its divisors is an integer number (1105500660507).

Almost surely, 2^{2211001321013} is an apocalyptic number.

It is an amenable number.

2211001321013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211001321013 is an equidigital number, since it uses as much as digits as its factorization.

2211001321013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2211001321013 its reverse (3101231001122), we get a palindrome (5312232322135).

The spelling of 2211001321013 in words is "two trillion, two hundred eleven billion, one million, three hundred twenty-one thousand, thirteen".