13123533413321 has 2 divisors, whose sum is σ = 13123533413322. Its totient is φ = 13123533413320.

The previous prime is 13123533413299. The next prime is 13123533413329. The reversal of 13123533413321 is 12331433532131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12930777291721 + 192756121600 = 3595939^2 + 439040^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13123533413321 is a prime.

It is not a weakly prime, because it can be changed into another prime (13123533413329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561766706660 + 6561766706661.

It is an arithmetic number, because the mean of its divisors is an integer number (6561766706661).

Almost surely, 2^{13123533413321} is an apocalyptic number.

It is an amenable number.

13123533413321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123533413321 is an equidigital number, since it uses as much as digits as its factorization.

13123533413321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 58320, while the sum is 35.

Adding to 13123533413321 its reverse (12331433532131), we get a palindrome (25454966945452).

The spelling of 13123533413321 in words is "thirteen trillion, one hundred twenty-three billion, five hundred thirty-three million, four hundred thirteen thousand, three hundred twenty-one".