13323112330337 has 2 divisors, whose sum is σ = 13323112330338. Its totient is φ = 13323112330336.

The previous prime is 13323112330309. The next prime is 13323112330349. The reversal of 13323112330337 is 73303321132331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6865191262801 + 6457921067536 = 2620151^2 + 2541244^2 .

It is a cyclic number.

It is not a de Polignac number, because 13323112330337 - 2²⁰ = 13323111281761 is a prime.

It is a super-2 number, since 2×13323112330337² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13323112330297 and 13323112330306.

It is not a weakly prime, because it can be changed into another prime (13323112330387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6661556165168 + 6661556165169.

It is an arithmetic number, because the mean of its divisors is an integer number (6661556165169).

Almost surely, 2^{13323112330337} is an apocalyptic number.

It is an amenable number.

13323112330337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13323112330337 is an equidigital number, since it uses as much as digits as its factorization.

13323112330337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 61236, while the sum is 35.

Adding to 13323112330337 its reverse (73303321132331), we get a palindrome (86626433462668).

The spelling of 13323112330337 in words is "thirteen trillion, three hundred twenty-three billion, one hundred twelve million, three hundred thirty thousand, three hundred thirty-seven".