2213121333301 has 2 divisors, whose sum is σ = 2213121333302. Its totient is φ = 2213121333300.

The previous prime is 2213121333239. The next prime is 2213121333403. The reversal of 2213121333301 is 1033331213122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1741634484100 + 471486849201 = 1319710^2 + 686649^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213121333301 - 2³⁷ = 2075682379829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2213121633301) 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, 1106560666650 + 1106560666651.

It is an arithmetic number, because the mean of its divisors is an integer number (1106560666651).

Almost surely, 2^{2213121333301} is an apocalyptic number.

It is an amenable number.

2213121333301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213121333301 is an equidigital number, since it uses as much as digits as its factorization.

2213121333301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 2213121333301 its reverse (1033331213122), we get a palindrome (3246452546423).

The spelling of 2213121333301 in words is "two trillion, two hundred thirteen billion, one hundred twenty-one million, three hundred thirty-three thousand, three hundred one".