220113010321313 has 2 divisors, whose sum is σ = 220113010321314. Its totient is φ = 220113010321312.

The previous prime is 220113010321291. The next prime is 220113010321331. The reversal of 220113010321313 is 313123010311022.

Together with next prime (220113010321331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217525567567504 + 2587442753809 = 14748748^2 + 1608553^2 .

It is a cyclic number.

It is not a de Polignac number, because 220113010321313 - 2¹⁶ = 220113010255777 is a prime.

It is not a weakly prime, because it can be changed into another prime (220113010323313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110056505160656 + 110056505160657.

It is an arithmetic number, because the mean of its divisors is an integer number (110056505160657).

Almost surely, 2^{220113010321313} is an apocalyptic number.

It is an amenable number.

220113010321313 is a deficient number, since it is larger than the sum of its proper divisors (1).

220113010321313 is an equidigital number, since it uses as much as digits as its factorization.

220113010321313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 220113010321313 its reverse (313123010311022), we get a palindrome (533236020632335).

The spelling of 220113010321313 in words is "two hundred twenty trillion, one hundred thirteen billion, ten million, three hundred twenty-one thousand, three hundred thirteen".