33130123130033 has 2 divisors, whose sum is σ = 33130123130034. Its totient is φ = 33130123130032.

The previous prime is 33130123130009. The next prime is 33130123130053. The reversal of 33130123130033 is 33003132103133.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19730804311969 + 13399318818064 = 4441937^2 + 3660508^2 .

It is a cyclic number.

It is not a de Polignac number, because 33130123130033 - 2⁸ = 33130123129777 is a prime.

It is a super-2 number, since 2×33130123130033² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33130123129984 and 33130123130011.

It is not a weakly prime, because it can be changed into another prime (33130123130053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16565061565016 + 16565061565017.

It is an arithmetic number, because the mean of its divisors is an integer number (16565061565017).

Almost surely, 2^{33130123130033} is an apocalyptic number.

It is an amenable number.

33130123130033 is a deficient number, since it is larger than the sum of its proper divisors (1).

33130123130033 is an equidigital number, since it uses as much as digits as its factorization.

33130123130033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 33130123130033 its reverse (33003132103133), we get a palindrome (66133255233166).

The spelling of 33130123130033 in words is "thirty-three trillion, one hundred thirty billion, one hundred twenty-three million, one hundred thirty thousand, thirty-three".