133103333031593 has 2 divisors, whose sum is σ = 133103333031594. Its totient is φ = 133103333031592.

The previous prime is 133103333031523. The next prime is 133103333031607. The reversal of 133103333031593 is 395130333301331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131668579444249 + 1434753587344 = 11474693^2 + 1197812^2 .

It is a cyclic number.

It is not a de Polignac number, because 133103333031593 - 2¹⁴ = 133103333015209 is a prime.

It is a super-2 number, since 2×133103333031593² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133103333031593.

It is not a weakly prime, because it can be changed into another prime (133103333031523) 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, 66551666515796 + 66551666515797.

It is an arithmetic number, because the mean of its divisors is an integer number (66551666515797).

Almost surely, 2^{133103333031593} is an apocalyptic number.

It is an amenable number.

133103333031593 is a deficient number, since it is larger than the sum of its proper divisors (1).

133103333031593 is an equidigital number, since it uses as much as digits as its factorization.

133103333031593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 295245, while the sum is 41.

The spelling of 133103333031593 in words is "one hundred thirty-three trillion, one hundred three billion, three hundred thirty-three million, thirty-one thousand, five hundred ninety-three".