213310110010113 has 10 divisors (see below), whose sum is σ = 318648435941154. Its totient is φ = 142206740006688.

The previous prime is 213310110010043. The next prime is 213310110010117. The reversal of 213310110010113 is 311010011013312.

It can be written as a sum of positive squares in only one way, i.e., 122132381027904 + 91177728982209 = 11051352^2 + 9548703^2 .

It is not a de Polignac number, because 213310110010113 - 2¹⁶ = 213310109944577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213310110010117) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1316729074056 + ... + 1316729074217.

Almost surely, 2^{213310110010113} is an apocalyptic number.

It is an amenable number.

213310110010113 is a deficient number, since it is larger than the sum of its proper divisors (105338325931041).

213310110010113 is an equidigital number, since it uses as much as digits as its factorization.

213310110010113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633458148285 (or 2633458148276 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 213310110010113 its reverse (311010011013312), we get a palindrome (524320121023425).

The spelling of 213310110010113 in words is "two hundred thirteen trillion, three hundred ten billion, one hundred ten million, ten thousand, one hundred thirteen".