3031122220213 has 2 divisors, whose sum is σ = 3031122220214. Its totient is φ = 3031122220212.

The previous prime is 3031122220199. The next prime is 3031122220223. The reversal of 3031122220213 is 3120222211303.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2315394376164 + 715727844049 = 1521642^2 + 846007^2 .

It is an emirp because it is prime and its reverse (3120222211303) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3031122220213 - 2¹⁷ = 3031122089141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3031122220223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1515561110106 + 1515561110107.

It is an arithmetic number, because the mean of its divisors is an integer number (1515561110107).

Almost surely, 2^{3031122220213} is an apocalyptic number.

It is an amenable number.

3031122220213 is a deficient number, since it is larger than the sum of its proper divisors (1).

3031122220213 is an equidigital number, since it uses as much as digits as its factorization.

3031122220213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 3031122220213 its reverse (3120222211303), we get a palindrome (6151344431516).

The spelling of 3031122220213 in words is "three trillion, thirty-one billion, one hundred twenty-two million, two hundred twenty thousand, two hundred thirteen".