13123003133323 has 2 divisors, whose sum is σ = 13123003133324. Its totient is φ = 13123003133322.

The previous prime is 13123003133321. The next prime is 13123003133347. The reversal of 13123003133323 is 32333130032131.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13123003133323 - 2¹ = 13123003133321 is a prime.

It is a super-2 number, since 2×13123003133323² (a number of 27 digits) contains 22 as substring.

Together with 13123003133321, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 13123003133291 and 13123003133300.

It is not a weakly prime, because it can be changed into another prime (13123003133321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561501566661 + 6561501566662.

It is an arithmetic number, because the mean of its divisors is an integer number (6561501566662).

Almost surely, 2^{13123003133323} is an apocalyptic number.

13123003133323 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123003133323 is an equidigital number, since it uses as much as digits as its factorization.

13123003133323 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 13123003133323 its reverse (32333130032131), we get a palindrome (45456133165454).

The spelling of 13123003133323 in words is "thirteen trillion, one hundred twenty-three billion, three million, one hundred thirty-three thousand, three hundred twenty-three".