1004103300000 has 1152 divisors, whose sum is σ = 3673924853760. Its totient is φ = 239052800000.

The previous prime is 1004103299989. The next prime is 1004103300007. The reversal of 1004103300000 is 33014001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1004103300007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14142299965 + ... + 14142300035.

It is an arithmetic number, because the mean of its divisors is an integer number (3189170880).

Almost surely, 2^{1004103300000} is an apocalyptic number.

1004103300000 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 1004103300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836962426880).

1004103300000 is an abundant number, since it is smaller than the sum of its proper divisors (2669821553760).

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

1004103300000 is an equidigital number, since it uses as much as digits as its factorization.

1004103300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1004103300000 its reverse (33014001), we get a palindrome (1004136314001).

The spelling of 1004103300000 in words is "one trillion, four billion, one hundred three million, three hundred thousand".