133031033030009 has 2 divisors, whose sum is σ = 133031033030010. Its totient is φ = 133031033030008.

The previous prime is 133031033029981. The next prime is 133031033030047. The reversal of 133031033030009 is 900030330130331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127873464853225 + 5157568176784 = 11308115^2 + 2271028^2 .

It is a cyclic number.

It is not a de Polignac number, because 133031033030009 - 2³⁶ = 132962313553273 is a prime.

It is not a weakly prime, because it can be changed into another prime (133031033030509) 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, 66515516515004 + 66515516515005.

It is an arithmetic number, because the mean of its divisors is an integer number (66515516515005).

Almost surely, 2^{133031033030009} is an apocalyptic number.

It is an amenable number.

133031033030009 is a deficient number, since it is larger than the sum of its proper divisors (1).

133031033030009 is an equidigital number, since it uses as much as digits as its factorization.

133031033030009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6561, while the sum is 29.

The spelling of 133031033030009 in words is "one hundred thirty-three trillion, thirty-one billion, thirty-three million, thirty thousand, nine".