13123033333121 has 2 divisors, whose sum is σ = 13123033333122. Its totient is φ = 13123033333120.

The previous prime is 13123033333099. The next prime is 13123033333133. The reversal of 13123033333121 is 12133333032131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11016657148225 + 2106376184896 = 3319135^2 + 1451336^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123033333121 - 2³⁰ = 13121959591297 is a prime.

It is not a weakly prime, because it can be changed into another prime (13123033833121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561516666560 + 6561516666561.

It is an arithmetic number, because the mean of its divisors is an integer number (6561516666561).

Almost surely, 2^{13123033333121} is an apocalyptic number.

It is an amenable number.

13123033333121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123033333121 is an equidigital number, since it uses as much as digits as its factorization.

13123033333121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 13123033333121 its reverse (12133333032131), we get a palindrome (25256366365252).

The spelling of 13123033333121 in words is "thirteen trillion, one hundred twenty-three billion, thirty-three million, three hundred thirty-three thousand, one hundred twenty-one".