133003010033 has 2 divisors, whose sum is σ = 133003010034. Its totient is φ = 133003010032.

The previous prime is 133003010029. The next prime is 133003010071. The reversal of 133003010033 is 330010300331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81172568464 + 51830441569 = 284908^2 + 227663^2 .

It is an emirp because it is prime and its reverse (330010300331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133003010033 - 2² = 133003010029 is a prime.

It is a super-2 number, since 2×133003010033² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133003009993 and 133003010020.

It is not a weakly prime, because it can be changed into another prime (133003010093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66501505016 + 66501505017.

It is an arithmetic number, because the mean of its divisors is an integer number (66501505017).

Almost surely, 2^133003010033 is an apocalyptic number.

It is an amenable number.

133003010033 is a deficient number, since it is larger than the sum of its proper divisors (1).

133003010033 is an equidigital number, since it uses as much as digits as its factorization.

133003010033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 17.

Adding to 133003010033 its reverse (330010300331), we get a palindrome (463013310364).

The spelling of 133003010033 in words is "one hundred thirty-three billion, three million, ten thousand, thirty-three".