210210223131313 has 2 divisors, whose sum is σ = 210210223131314. Its totient is φ = 210210223131312.

The previous prime is 210210223131283. The next prime is 210210223131343. The reversal of 210210223131313 is 313131322012012.

It is a balanced prime because it is at equal distance from previous prime (210210223131283) and next prime (210210223131343).

It can be written as a sum of positive squares in only one way, i.e., 207613171628944 + 2597051502369 = 14408788^2 + 1611537^2 .

It is a cyclic number.

It is not a de Polignac number, because 210210223131313 - 2¹⁷ = 210210223000241 is a prime.

It is a super-2 number, since 2×210210223131313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (210210223131343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105105111565656 + 105105111565657.

It is an arithmetic number, because the mean of its divisors is an integer number (105105111565657).

Almost surely, 2^{210210223131313} is an apocalyptic number.

It is an amenable number.

210210223131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

210210223131313 is an equidigital number, since it uses as much as digits as its factorization.

210210223131313 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 25.

Adding to 210210223131313 its reverse (313131322012012), we get a palindrome (523341545143325).

The spelling of 210210223131313 in words is "two hundred ten trillion, two hundred ten billion, two hundred twenty-three million, one hundred thirty-one thousand, three hundred thirteen".