133414161414329 has 2 divisors, whose sum is σ = 133414161414330. Its totient is φ = 133414161414328.

The previous prime is 133414161414307. The next prime is 133414161414389. The reversal of 133414161414329 is 923414161414331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83387214355600 + 50026947058729 = 9131660^2 + 7072973^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-133414161414329 is a prime.

It is not a weakly prime, because it can be changed into another prime (133414161414389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66707080707164 + 66707080707165.

It is an arithmetic number, because the mean of its divisors is an integer number (66707080707165).

Almost surely, 2^{133414161414329} is an apocalyptic number.

It is an amenable number.

133414161414329 is a deficient number, since it is larger than the sum of its proper divisors (1).

133414161414329 is an equidigital number, since it uses as much as digits as its factorization.

133414161414329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 746496, while the sum is 47.

The spelling of 133414161414329 in words is "one hundred thirty-three trillion, four hundred fourteen billion, one hundred sixty-one million, four hundred fourteen thousand, three hundred twenty-nine".