133123220410309 has 2 divisors, whose sum is σ = 133123220410310. Its totient is φ = 133123220410308.

The previous prime is 133123220410291. The next prime is 133123220410373. The reversal of 133123220410309 is 903014022321331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126097672579684 + 7025547830625 = 11229322^2 + 2650575^2 .

It is a cyclic number.

It is not a de Polignac number, because 133123220410309 - 2²¹ = 133123218313157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133123220410709) 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, 66561610205154 + 66561610205155.

It is an arithmetic number, because the mean of its divisors is an integer number (66561610205155).

Almost surely, 2^{133123220410309} is an apocalyptic number.

It is an amenable number.

133123220410309 is a deficient number, since it is larger than the sum of its proper divisors (1).

133123220410309 is an equidigital number, since it uses as much as digits as its factorization.

133123220410309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 133123220410309 in words is "one hundred thirty-three trillion, one hundred twenty-three billion, two hundred twenty million, four hundred ten thousand, three hundred nine".