20113310311217 has 2 divisors, whose sum is σ = 20113310311218. Its totient is φ = 20113310311216.

The previous prime is 20113310311141. The next prime is 20113310311219. The reversal of 20113310311217 is 71211301331102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11153202008881 + 8960108302336 = 3339641^2 + 2993344^2 .

It is a cyclic number.

It is not a de Polignac number, because 20113310311217 - 2³⁰ = 20112236569393 is a prime.

Together with 20113310311219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (20113310311219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10056655155608 + 10056655155609.

It is an arithmetic number, because the mean of its divisors is an integer number (10056655155609).

Almost surely, 2^{20113310311217} is an apocalyptic number.

It is an amenable number.

20113310311217 is a deficient number, since it is larger than the sum of its proper divisors (1).

20113310311217 is an equidigital number, since it uses as much as digits as its factorization.

20113310311217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 26.

Adding to 20113310311217 its reverse (71211301331102), we get a palindrome (91324611642319).

The spelling of 20113310311217 in words is "twenty trillion, one hundred thirteen billion, three hundred ten million, three hundred eleven thousand, two hundred seventeen".