1004034022133 has 2 divisors, whose sum is σ = 1004034022134. Its totient is φ = 1004034022132.

The previous prime is 1004034022063. The next prime is 1004034022163. The reversal of 1004034022133 is 3312204304001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 802633226404 + 201400795729 = 895898^2 + 448777^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004034022133 - 2⁸ = 1004034021877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1004034022099 and 1004034022108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1004034022163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502017011066 + 502017011067.

It is an arithmetic number, because the mean of its divisors is an integer number (502017011067).

Almost surely, 2^{1004034022133} is an apocalyptic number.

It is an amenable number.

1004034022133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004034022133 is an equidigital number, since it uses as much as digits as its factorization.

1004034022133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 1004034022133 its reverse (3312204304001), we get a palindrome (4316238326134).

The spelling of 1004034022133 in words is "one trillion, four billion, thirty-four million, twenty-two thousand, one hundred thirty-three".