1003133104000 has 256 divisors, whose sum is σ = 2559843000000. Its totient is φ = 390793420800.

The previous prime is 1003133103989. The next prime is 1003133104007. The reversal of 1003133104000 is 4013313001.

1003133104000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003133104007) 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, 102891126 + ... + 102900874.

Almost surely, 2^{1003133104000} is an apocalyptic number.

1003133104000 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 1003133104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279921500000).

1003133104000 is an abundant number, since it is smaller than the sum of its proper divisors (1556709896000).

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

1003133104000 is an equidigital number, since it uses as much as digits as its factorization.

1003133104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9946 (or 9924 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1003133104000 its reverse (4013313001), we get a palindrome (1007146417001).

The spelling of 1003133104000 in words is "one trillion, three billion, one hundred thirty-three million, one hundred four thousand".