21222131202313 has 2 divisors, whose sum is σ = 21222131202314. Its totient is φ = 21222131202312.

The previous prime is 21222131202289. The next prime is 21222131202319. The reversal of 21222131202313 is 31320213122212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13032764248464 + 8189366953849 = 3610092^2 + 2861707^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21222131202313 is a prime.

It is a super-4 number, since 4×21222131202313⁴ (a number of 54 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (21222131202319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10611065601156 + 10611065601157.

It is an arithmetic number, because the mean of its divisors is an integer number (10611065601157).

Almost surely, 2^{21222131202313} is an apocalyptic number.

It is an amenable number.

21222131202313 is a deficient number, since it is larger than the sum of its proper divisors (1).

21222131202313 is an equidigital number, since it uses as much as digits as its factorization.

21222131202313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 21222131202313 its reverse (31320213122212), we get a palindrome (52542344324525).

The spelling of 21222131202313 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred thirty-one million, two hundred two thousand, three hundred thirteen".