1032313200 has 120 divisors (see below), whose sum is σ = 3317571888. Its totient is φ = 274391040.

The previous prime is 1032313199. The next prime is 1032313229. The reversal of 1032313200 is 23132301.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1032313200.

It is a congruent number.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 422382 + ... + 424818.

Almost surely, 2^1032313200 is an apocalyptic number.

1032313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658785944).

1032313200 is an abundant number, since it is smaller than the sum of its proper divisors (2285258688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1032313200 is a wasteful number, since it uses less digits than its factorization.

1032313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1032313200 is about 32129.6311836909. The cubic root of 1032313200 is about 1010.6570896523.

Adding to 1032313200 its reverse (23132301), we get a palindrome (1055445501).

The spelling of 1032313200 in words is "one billion, thirty-two million, three hundred thirteen thousand, two hundred".