223312071300313 has 2 divisors, whose sum is σ = 223312071300314. Its totient is φ = 223312071300312.

The previous prime is 223312071300299. The next prime is 223312071300349. The reversal of 223312071300313 is 313003170213322.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212167103325849 + 11144967974464 = 14565957^2 + 3338408^2 .

It is a cyclic number.

It is not a de Polignac number, because 223312071300313 - 2⁴¹ = 221113048044761 is a prime.

It is not a weakly prime, because it can be changed into another prime (223312071300713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111656035650156 + 111656035650157.

It is an arithmetic number, because the mean of its divisors is an integer number (111656035650157).

Almost surely, 2^{223312071300313} is an apocalyptic number.

It is an amenable number.

223312071300313 is a deficient number, since it is larger than the sum of its proper divisors (1).

223312071300313 is an equidigital number, since it uses as much as digits as its factorization.

223312071300313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 31.

The spelling of 223312071300313 in words is "two hundred twenty-three trillion, three hundred twelve billion, seventy-one million, three hundred thousand, three hundred thirteen".