13311100311217 has 2 divisors, whose sum is σ = 13311100311218. Its totient is φ = 13311100311216.

The previous prime is 13311100311209. The next prime is 13311100311307. The reversal of 13311100311217 is 71211300111331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9351633105936 + 3959467205281 = 3058044^2 + 1989841^2 .

It is a cyclic number.

It is not a de Polignac number, because 13311100311217 - 2³ = 13311100311209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13311100311191 and 13311100311200.

It is not a weakly prime, because it can be changed into another prime (13311100312217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655550155608 + 6655550155609.

It is an arithmetic number, because the mean of its divisors is an integer number (6655550155609).

Almost surely, 2^{13311100311217} is an apocalyptic number.

It is an amenable number.

13311100311217 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311100311217 is an equidigital number, since it uses as much as digits as its factorization.

13311100311217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 25.

Adding to 13311100311217 its reverse (71211300111331), we get a palindrome (84522400422548).

The spelling of 13311100311217 in words is "thirteen trillion, three hundred eleven billion, one hundred million, three hundred eleven thousand, two hundred seventeen".