133126406046013 has 2 divisors, whose sum is σ = 133126406046014. Its totient is φ = 133126406046012.

The previous prime is 133126406045887. The next prime is 133126406046097. The reversal of 133126406046013 is 310640604621331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77781763443609 + 55344642602404 = 8819397^2 + 7439398^2 .

It is a cyclic number.

It is not a de Polignac number, because 133126406046013 - 2¹⁷ = 133126405914941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133126406046313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66563203023006 + 66563203023007.

It is an arithmetic number, because the mean of its divisors is an integer number (66563203023007).

Almost surely, 2^{133126406046013} is an apocalyptic number.

It is an amenable number.

133126406046013 is a deficient number, since it is larger than the sum of its proper divisors (1).

133126406046013 is an equidigital number, since it uses as much as digits as its factorization.

133126406046013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 133126406046013 in words is "one hundred thirty-three trillion, one hundred twenty-six billion, four hundred six million, forty-six thousand, thirteen".