121314040413121 has 2 divisors, whose sum is σ = 121314040413122. Its totient is φ = 121314040413120.

The previous prime is 121314040413053. The next prime is 121314040413161.

121314040413121 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121207218642225 + 106821770896 = 11009415^2 + 326836^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-121314040413121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121314040413121.

It is not a weakly prime, because it can be changed into another prime (121314040413161) 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, 60657020206560 + 60657020206561.

It is an arithmetic number, because the mean of its divisors is an integer number (60657020206561).

Almost surely, 2^{121314040413121} is an apocalyptic number.

It is an amenable number.

121314040413121 is a deficient number, since it is larger than the sum of its proper divisors (1).

121314040413121 is an equidigital number, since it uses as much as digits as its factorization.

121314040413121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 121314040413121 in words is "one hundred twenty-one trillion, three hundred fourteen billion, forty million, four hundred thirteen thousand, one hundred twenty-one".