22210313013313 has 2 divisors, whose sum is σ = 22210313013314. Its totient is φ = 22210313013312.

The previous prime is 22210313013299. The next prime is 22210313013359. The reversal of 22210313013313 is 31331031301222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14569550072064 + 7640762941249 = 3817008^2 + 2764193^2 .

It is a cyclic number.

It is not a de Polignac number, because 22210313013313 - 2¹³ = 22210313005121 is a prime.

It is not a weakly prime, because it can be changed into another prime (22210313013613) 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, 11105156506656 + 11105156506657.

It is an arithmetic number, because the mean of its divisors is an integer number (11105156506657).

Almost surely, 2^{22210313013313} is an apocalyptic number.

It is an amenable number.

22210313013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

22210313013313 is an equidigital number, since it uses as much as digits as its factorization.

22210313013313 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 22210313013313 its reverse (31331031301222), we get a palindrome (53541344314535).

The spelling of 22210313013313 in words is "twenty-two trillion, two hundred ten billion, three hundred thirteen million, thirteen thousand, three hundred thirteen".