10213133313217 has 2 divisors, whose sum is σ = 10213133313218. Its totient is φ = 10213133313216.

The previous prime is 10213133313067. The next prime is 10213133313239. The reversal of 10213133313217 is 71231333131201.

10213133313217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8340954101041 + 1872179212176 = 2888071^2 + 1368276^2 .

It is a cyclic number.

It is not a de Polignac number, because 10213133313217 - 2¹¹ = 10213133311169 is a prime.

It is not a weakly prime, because it can be changed into another prime (10213133311217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106566656608 + 5106566656609.

It is an arithmetic number, because the mean of its divisors is an integer number (5106566656609).

Almost surely, 2^{10213133313217} is an apocalyptic number.

It is an amenable number.

10213133313217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10213133313217 is an equidigital number, since it uses as much as digits as its factorization.

10213133313217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6804, while the sum is 31.

Adding to 10213133313217 its reverse (71231333131201), we get a palindrome (81444466444418).

The spelling of 10213133313217 in words is "ten trillion, two hundred thirteen billion, one hundred thirty-three million, three hundred thirteen thousand, two hundred seventeen".