13311310033313 has 2 divisors, whose sum is σ = 13311310033314. Its totient is φ = 13311310033312.

The previous prime is 13311310033303. The next prime is 13311310033327. The reversal of 13311310033313 is 31333001311331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8441308484449 + 4870001548864 = 2905393^2 + 2206808^2 .

It is a cyclic number.

It is not a de Polignac number, because 13311310033313 - 2⁶ = 13311310033249 is a prime.

It is not a weakly prime, because it can be changed into another prime (13311310033303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655655016656 + 6655655016657.

It is an arithmetic number, because the mean of its divisors is an integer number (6655655016657).

Almost surely, 2^{13311310033313} is an apocalyptic number.

It is an amenable number.

13311310033313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311310033313 is an equidigital number, since it uses as much as digits as its factorization.

13311310033313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2187, while the sum is 26.

Adding to 13311310033313 its reverse (31333001311331), we get a palindrome (44644311344644).

The spelling of 13311310033313 in words is "thirteen trillion, three hundred eleven billion, three hundred ten million, thirty-three thousand, three hundred thirteen".