1032113321 has 2 divisors, whose sum is σ = 1032113322. Its totient is φ = 1032113320.

The previous prime is 1032113311. The next prime is 1032113323. The reversal of 1032113321 is 1233112301.

1032113321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 588547600 + 443565721 = 24260^2 + 21061^2 .

It is a cyclic number.

It is not a de Polignac number, because 1032113321 - 2¹⁰ = 1032112297 is a prime.

It is a Sophie Germain prime.

Together with 1032113323, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1032113321.

It is not a weakly prime, because it can be changed into another prime (1032113323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516056660 + 516056661.

It is an arithmetic number, because the mean of its divisors is an integer number (516056661).

Almost surely, 2^1032113321 is an apocalyptic number.

It is an amenable number.

1032113321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1032113321 is an equidigital number, since it uses as much as digits as its factorization.

1032113321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1032113321 is about 32126.5205243269. The cubic root of 1032113321 is about 1010.5918568115.

Adding to 1032113321 its reverse (1233112301), we get a palindrome (2265225622).

The spelling of 1032113321 in words is "one billion, thirty-two million, one hundred thirteen thousand, three hundred twenty-one".