1032330013 has 24 divisors (see below), whose sum is σ = 1236874464. Its totient is φ = 855745440.

The previous prime is 1032330001. The next prime is 1032330031. The reversal of 1032330013 is 3100332301.

1032330013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1032330013 - 2¹⁷ = 1032198941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032330913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126606 + ... + 134512.

It is an arithmetic number, because the mean of its divisors is an integer number (51536436).

Almost surely, 2^1032330013 is an apocalyptic number.

1032330013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1032330013 is a deficient number, since it is larger than the sum of its proper divisors (204544451).

1032330013 is a wasteful number, since it uses less digits than its factorization.

1032330013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8025 (or 8014 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 1032330013 is about 32129.8928258405. The cubic root of 1032330013 is about 1010.6625763868.

Adding to 1032330013 its reverse (3100332301), we get a palindrome (4132662314).

The spelling of 1032330013 in words is "one billion, thirty-two million, three hundred thirty thousand, thirteen".