133121111313121 has 2 divisors, whose sum is σ = 133121111313122. Its totient is φ = 133121111313120.

The previous prime is 133121111313109. The next prime is 133121111313139. The reversal of 133121111313121 is 121313111121331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126313682412096 + 6807428901025 = 11238936^2 + 2609105^2 .

It is an emirp because it is prime and its reverse (121313111121331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133121111313121 - 2¹⁷ = 133121111182049 is a prime.

It is not a weakly prime, because it can be changed into another prime (133121111313161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66560555656560 + 66560555656561.

It is an arithmetic number, because the mean of its divisors is an integer number (66560555656561).

Almost surely, 2^{133121111313121} is an apocalyptic number.

It is an amenable number.

133121111313121 is a deficient number, since it is larger than the sum of its proper divisors (1).

133121111313121 is an equidigital number, since it uses as much as digits as its factorization.

133121111313121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 324, while the sum is 25.

Adding to 133121111313121 its reverse (121313111121331), we get a palindrome (254434222434452).

The spelling of 133121111313121 in words is "one hundred thirty-three trillion, one hundred twenty-one billion, one hundred eleven million, three hundred thirteen thousand, one hundred twenty-one".