102133001030033 has 2 divisors, whose sum is σ = 102133001030034. Its totient is φ = 102133001030032.

The previous prime is 102133001029957. The next prime is 102133001030077. The reversal of 102133001030033 is 330030100331201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79717255116304 + 22415745913729 = 8928452^2 + 4734527^2 .

It is a cyclic number.

It is not a de Polignac number, because 102133001030033 - 2³⁴ = 102115821160849 is a prime.

It is a super-2 number, since 2×102133001030033² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102133001029987 and 102133001030014.

It is not a weakly prime, because it can be changed into another prime (102133001830033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066500515016 + 51066500515017.

It is an arithmetic number, because the mean of its divisors is an integer number (51066500515017).

Almost surely, 2^{102133001030033} is an apocalyptic number.

It is an amenable number.

102133001030033 is a deficient number, since it is larger than the sum of its proper divisors (1).

102133001030033 is an equidigital number, since it uses as much as digits as its factorization.

102133001030033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 102133001030033 its reverse (330030100331201), we get a palindrome (432163101361234).

The spelling of 102133001030033 in words is "one hundred two trillion, one hundred thirty-three billion, one million, thirty thousand, thirty-three".