1038327104033 has 2 divisors, whose sum is σ = 1038327104034. Its totient is φ = 1038327104032.

The previous prime is 1038327104027. The next prime is 1038327104051. The reversal of 1038327104033 is 3304017238301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1022905686544 + 15421417489 = 1011388^2 + 124183^2 .

It is a cyclic number.

It is not a de Polignac number, because 1038327104033 - 2⁸ = 1038327103777 is a prime.

It is a super-3 number, since 3×1038327104033³ (a number of 37 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1038327103984 and 1038327104002.

It is not a weakly prime, because it can be changed into another prime (1038327104053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 519163552016 + 519163552017.

It is an arithmetic number, because the mean of its divisors is an integer number (519163552017).

Almost surely, 2^{1038327104033} is an apocalyptic number.

It is an amenable number.

1038327104033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1038327104033 is an equidigital number, since it uses as much as digits as its factorization.

1038327104033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 1038327104033 in words is "one trillion, thirty-eight billion, three hundred twenty-seven million, one hundred four thousand, thirty-three".