2210120301313 has 2 divisors, whose sum is σ = 2210120301314. Its totient is φ = 2210120301312.

The previous prime is 2210120301269. The next prime is 2210120301359. The reversal of 2210120301313 is 3131030210122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1301497652224 + 908622649089 = 1140832^2 + 953217^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210120301313 - 2⁴¹ = 11097045761 is a prime.

It is not a weakly prime, because it can be changed into another prime (2210120301373) 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, 1105060150656 + 1105060150657.

It is an arithmetic number, because the mean of its divisors is an integer number (1105060150657).

Almost surely, 2^{2210120301313} is an apocalyptic number.

It is an amenable number.

2210120301313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210120301313 is an equidigital number, since it uses as much as digits as its factorization.

2210120301313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2210120301313 its reverse (3131030210122), we get a palindrome (5341150511435).

The spelling of 2210120301313 in words is "two trillion, two hundred ten billion, one hundred twenty million, three hundred one thousand, three hundred thirteen".