2230220013313 has 2 divisors, whose sum is σ = 2230220013314. Its totient is φ = 2230220013312.

The previous prime is 2230220013311. The next prime is 2230220013337. The reversal of 2230220013313 is 3133100220322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1508787218929 + 721432794384 = 1228327^2 + 849372^2 .

It is a cyclic number.

It is not a de Polignac number, because 2230220013313 - 2¹ = 2230220013311 is a prime.

Together with 2230220013311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2230220013311) 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, 1115110006656 + 1115110006657.

It is an arithmetic number, because the mean of its divisors is an integer number (1115110006657).

Almost surely, 2^{2230220013313} is an apocalyptic number.

It is an amenable number.

2230220013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2230220013313 is an equidigital number, since it uses as much as digits as its factorization.

2230220013313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2230220013313 its reverse (3133100220322), we get a palindrome (5363320233635).

The spelling of 2230220013313 in words is "two trillion, two hundred thirty billion, two hundred twenty million, thirteen thousand, three hundred thirteen".