1032003013200 has 960 divisors, whose sum is σ = 3746730193920. Its totient is φ = 241532928000.

The previous prime is 1032003013187. The next prime is 1032003013201. The reversal of 1032003013200 is 23103002301.

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 1032003013200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032003013201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3808129065 + ... + 3808129335.

It is an arithmetic number, because the mean of its divisors is an integer number (3902843952).

Almost surely, 2^{1032003013200} is an apocalyptic number.

1032003013200 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 1032003013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873365096960).

1032003013200 is an abundant number, since it is smaller than the sum of its proper divisors (2714727180720).

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

1032003013200 is a wasteful number, since it uses less digits than its factorization.

1032003013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 525 counting only the distinct ones).

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

Adding to 1032003013200 its reverse (23103002301), we get a palindrome (1055106015501).

The spelling of 1032003013200 in words is "one trillion, thirty-two billion, three million, thirteen thousand, two hundred".