133042414013 has 2 divisors, whose sum is σ = 133042414014. Its totient is φ = 133042414012.

The previous prime is 133042413997. The next prime is 133042414081. The reversal of 133042414013 is 310414240331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132745092964 + 297321049 = 364342^2 + 17243^2 .

It is a cyclic number.

It is not a de Polignac number, because 133042414013 - 2⁴ = 133042413997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133042414093) 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, 66521207006 + 66521207007.

It is an arithmetic number, because the mean of its divisors is an integer number (66521207007).

Almost surely, 2^133042414013 is an apocalyptic number.

It is an amenable number.

133042414013 is a deficient number, since it is larger than the sum of its proper divisors (1).

133042414013 is an equidigital number, since it uses as much as digits as its factorization.

133042414013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 133042414013 its reverse (310414240331), we get a palindrome (443456654344).

The spelling of 133042414013 in words is "one hundred thirty-three billion, forty-two million, four hundred fourteen thousand, thirteen".