1003433132000 has 192 divisors, whose sum is σ = 2660559265728. Its totient is φ = 369734400000.

The previous prime is 1003433131999. The next prime is 1003433132003. The reversal of 1003433132000 is 2313343001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003433132003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25512350 + ... + 25551650.

It is an arithmetic number, because the mean of its divisors is an integer number (13857079509).

Almost surely, 2^{1003433132000} is an apocalyptic number.

1003433132000 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 1003433132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330279632864).

1003433132000 is an abundant number, since it is smaller than the sum of its proper divisors (1657126133728).

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

1003433132000 is a wasteful number, since it uses less digits than its factorization.

1003433132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39830 (or 39812 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1003433132000 its reverse (2313343001), we get a palindrome (1005746475001).

The spelling of 1003433132000 in words is "one trillion, three billion, four hundred thirty-three million, one hundred thirty-two thousand".