2013104413217 has 2 divisors, whose sum is σ = 2013104413218. Its totient is φ = 2013104413216.

The previous prime is 2013104413213. The next prime is 2013104413231. The reversal of 2013104413217 is 7123144013102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1962173402176 + 50931011041 = 1400776^2 + 225679^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013104413217 - 2² = 2013104413213 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2013104413217.

It is not a weakly prime, because it can be changed into another prime (2013104413213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006552206608 + 1006552206609.

It is an arithmetic number, because the mean of its divisors is an integer number (1006552206609).

Almost surely, 2^{2013104413217} is an apocalyptic number.

It is an amenable number.

2013104413217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013104413217 is an equidigital number, since it uses as much as digits as its factorization.

2013104413217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 29.

Adding to 2013104413217 its reverse (7123144013102), we get a palindrome (9136248426319).

The spelling of 2013104413217 in words is "two trillion, thirteen billion, one hundred four million, four hundred thirteen thousand, two hundred seventeen".