22002210121313 has 2 divisors, whose sum is σ = 22002210121314. Its totient is φ = 22002210121312.

The previous prime is 22002210121289. The next prime is 22002210121357. The reversal of 22002210121313 is 31312101220022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15040807549504 + 6961402571809 = 3878248^2 + 2638447^2 .

It is a cyclic number.

It is not a de Polignac number, because 22002210121313 - 2¹⁴ = 22002210104929 is a prime.

It is not a weakly prime, because it can be changed into another prime (22002210121013) 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, 11001105060656 + 11001105060657.

It is an arithmetic number, because the mean of its divisors is an integer number (11001105060657).

Almost surely, 2^{22002210121313} is an apocalyptic number.

It is an amenable number.

22002210121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

22002210121313 is an equidigital number, since it uses as much as digits as its factorization.

22002210121313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 22002210121313 its reverse (31312101220022), we get a palindrome (53314311341335).

The spelling of 22002210121313 in words is "twenty-two trillion, two billion, two hundred ten million, one hundred twenty-one thousand, three hundred thirteen".