13223133303313 has 2 divisors, whose sum is σ = 13223133303314. Its totient is φ = 13223133303312.

The previous prime is 13223133303299. The next prime is 13223133303329. The reversal of 13223133303313 is 31330333132231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9757701607824 + 3465431695489 = 3123732^2 + 1861567^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13223133303313 is a prime.

It is a super-3 number, since 3×13223133303313³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (13223133303713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6611566651656 + 6611566651657.

It is an arithmetic number, because the mean of its divisors is an integer number (6611566651657).

Almost surely, 2^{13223133303313} is an apocalyptic number.

It is an amenable number.

13223133303313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13223133303313 is an equidigital number, since it uses as much as digits as its factorization.

13223133303313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 31.

Adding to 13223133303313 its reverse (31330333132231), we get a palindrome (44553466435544).

The spelling of 13223133303313 in words is "thirteen trillion, two hundred twenty-three billion, one hundred thirty-three million, three hundred three thousand, three hundred thirteen".