133300112023033 has 2 divisors, whose sum is σ = 133300112023034. Its totient is φ = 133300112023032.

The previous prime is 133300112022937. The next prime is 133300112023051. The reversal of 133300112023033 is 330320211003331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84460658301504 + 48839453721529 = 9190248^2 + 6988523^2 .

It is an emirp because it is prime and its reverse (330320211003331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133300112023033 - 2⁹ = 133300112022521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133300112022989 and 133300112023007.

It is not a weakly prime, because it can be changed into another prime (133300112023093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66650056011516 + 66650056011517.

It is an arithmetic number, because the mean of its divisors is an integer number (66650056011517).

Almost surely, 2^{133300112023033} is an apocalyptic number.

It is an amenable number.

133300112023033 is a deficient number, since it is larger than the sum of its proper divisors (1).

133300112023033 is an equidigital number, since it uses as much as digits as its factorization.

133300112023033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 133300112023033 its reverse (330320211003331), we get a palindrome (463620323026364).

The spelling of 133300112023033 in words is "one hundred thirty-three trillion, three hundred billion, one hundred twelve million, twenty-three thousand, thirty-three".