133023345400093 has 2 divisors, whose sum is σ = 133023345400094. Its totient is φ = 133023345400092.

The previous prime is 133023345400031. The next prime is 133023345400123. The reversal of 133023345400093 is 390004543320331.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88087948128324 + 44935397271769 = 9385518^2 + 6703387^2 .

It is a cyclic number.

It is not a de Polignac number, because 133023345400093 - 2³⁷ = 132885906446621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133023345400003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66511672700046 + 66511672700047.

It is an arithmetic number, because the mean of its divisors is an integer number (66511672700047).

Almost surely, 2^{133023345400093} is an apocalyptic number.

It is an amenable number.

133023345400093 is a deficient number, since it is larger than the sum of its proper divisors (1).

133023345400093 is an equidigital number, since it uses as much as digits as its factorization.

133023345400093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 349920, while the sum is 40.

The spelling of 133023345400093 in words is "one hundred thirty-three trillion, twenty-three billion, three hundred forty-five million, four hundred thousand, ninety-three".