121113310331329 has 2 divisors, whose sum is σ = 121113310331330. Its totient is φ = 121113310331328.

The previous prime is 121113310331311. The next prime is 121113310331357. The reversal of 121113310331329 is 923133013311121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74118720663729 + 46994589667600 = 8609223^2 + 6855260^2 .

It is a cyclic number.

It is not a de Polignac number, because 121113310331329 - 2⁷ = 121113310331201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121113310331294 and 121113310331303.

It is not a weakly prime, because it can be changed into another prime (121113310331929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60556655165664 + 60556655165665.

It is an arithmetic number, because the mean of its divisors is an integer number (60556655165665).

Almost surely, 2^{121113310331329} is an apocalyptic number.

It is an amenable number.

121113310331329 is a deficient number, since it is larger than the sum of its proper divisors (1).

121113310331329 is an equidigital number, since it uses as much as digits as its factorization.

121113310331329 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 34.

The spelling of 121113310331329 in words is "one hundred twenty-one trillion, one hundred thirteen billion, three hundred ten million, three hundred thirty-one thousand, three hundred twenty-nine".