2221221313 has 2 divisors, whose sum is σ = 2221221314. Its totient is φ = 2221221312.

The previous prime is 2221221311. The next prime is 2221221347. The reversal of 2221221313 is 3131221222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1995230224 + 225991089 = 44668^2 + 15033^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221221313 - 2¹ = 2221221311 is a prime.

It is a super-3 number, since 3×2221221313³ (a number of 29 digits) contains 333 as substring.

Together with 2221221311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2221221311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110610656 + 1110610657.

It is an arithmetic number, because the mean of its divisors is an integer number (1110610657).

Almost surely, 2^2221221313 is an apocalyptic number.

It is an amenable number.

2221221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221221313 is an equidigital number, since it uses as much as digits as its factorization.

2221221313 is an evil number, because the sum of its binary digits is even.

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

The square root of 2221221313 is about 47129.8346379446. The cubic root of 2221221313 is about 1304.7599296110.

Adding to 2221221313 its reverse (3131221222), we get a palindrome (5352442535).

Subtracting 2221221313 from its reverse (3131221222), we obtain a palindrome (909999909).

The spelling of 2221221313 in words is "two billion, two hundred twenty-one million, two hundred twenty-one thousand, three hundred thirteen".