1032023313 has 12 divisors (see below), whose sum is σ = 1492317060. Its totient is φ = 687269376.

The previous prime is 1032023297. The next prime is 1032023383. The reversal of 1032023313 is 3133202301.

1032023313 is a `hidden beast` number, since 10 + 320 + 2 + 331 + 3 = 666.

1032023313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 264290049 + 767733264 = 16257^2 + 27708^2 .

It is not a de Polignac number, because 1032023313 - 2⁴ = 1032023297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1032023383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53356 + ... + 70077.

It is an arithmetic number, because the mean of its divisors is an integer number (124359755).

Almost surely, 2^1032023313 is an apocalyptic number.

It is an amenable number.

1032023313 is a deficient number, since it is larger than the sum of its proper divisors (460293747).

1032023313 is a wasteful number, since it uses less digits than its factorization.

1032023313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124368 (or 124365 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1032023313 is about 32125.1196573647. The cubic root of 1032023313 is about 1010.5624789017.

Adding to 1032023313 its reverse (3133202301), we get a palindrome (4165225614).

It can be divided in two parts, 10320 and 23313, that added together give a palindrome (33633).

The spelling of 1032023313 in words is "one billion, thirty-two million, twenty-three thousand, three hundred thirteen".