13133222233121 has 2 divisors, whose sum is σ = 13133222233122. Its totient is φ = 13133222233120.

The previous prime is 13133222233099. The next prime is 13133222233129. The reversal of 13133222233121 is 12133222233131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12253920313600 + 879301919521 = 3500560^2 + 937711^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13133222233121 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13133222233129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566611116560 + 6566611116561.

It is an arithmetic number, because the mean of its divisors is an integer number (6566611116561).

Almost surely, 2^{13133222233121} is an apocalyptic number.

It is an amenable number.

13133222233121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133222233121 is an equidigital number, since it uses as much as digits as its factorization.

13133222233121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7776, while the sum is 29.

Adding to 13133222233121 its reverse (12133222233131), we get a palindrome (25266444466252).

The spelling of 13133222233121 in words is "thirteen trillion, one hundred thirty-three billion, two hundred twenty-two million, two hundred thirty-three thousand, one hundred twenty-one".