1305110312213 has 2 divisors, whose sum is σ = 1305110312214. Its totient is φ = 1305110312212.

The previous prime is 1305110312183. The next prime is 1305110312287. The reversal of 1305110312213 is 3122130115031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 998556521284 + 306553790929 = 999278^2 + 553673^2 .

It is a cyclic number.

It is not a de Polignac number, because 1305110312213 - 2¹⁴ = 1305110295829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1305110312413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652555156106 + 652555156107.

It is an arithmetic number, because the mean of its divisors is an integer number (652555156107).

Almost surely, 2^{1305110312213} is an apocalyptic number.

It is an amenable number.

1305110312213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305110312213 is an equidigital number, since it uses as much as digits as its factorization.

1305110312213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 23.

Adding to 1305110312213 its reverse (3122130115031), we get a palindrome (4427240427244).

The spelling of 1305110312213 in words is "one trillion, three hundred five billion, one hundred ten million, three hundred twelve thousand, two hundred thirteen".