1033032023113 has 2 divisors, whose sum is σ = 1033032023114. Its totient is φ = 1033032023112.

The previous prime is 1033032023029. The next prime is 1033032023171. The reversal of 1033032023113 is 3113202303301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 754757837824 + 278274185289 = 868768^2 + 527517^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033032023113 - 2¹⁷ = 1033031892041 is a prime.

It is not a weakly prime, because it can be changed into another prime (1033032027113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516516011556 + 516516011557.

It is an arithmetic number, because the mean of its divisors is an integer number (516516011557).

Almost surely, 2^{1033032023113} is an apocalyptic number.

It is an amenable number.

1033032023113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033032023113 is an equidigital number, since it uses as much as digits as its factorization.

1033032023113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1033032023113 its reverse (3113202303301), we get a palindrome (4146234326414).

The spelling of 1033032023113 in words is "one trillion, thirty-three billion, thirty-two million, twenty-three thousand, one hundred thirteen".