1003305301100 has 144 divisors (see below), whose sum is σ = 2267854848000. Its totient is φ = 384963121920.

The previous prime is 1003305301091. The next prime is 1003305301139. The reversal of 1003305301100 is 11035033001.

It is a super-2 number, since 2×1003305301100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348489461 + ... + 348492339.

It is an arithmetic number, because the mean of its divisors is an integer number (15748992000).

Almost surely, 2^{1003305301100} is an apocalyptic number.

1003305301100 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 1003305301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133927424000).

1003305301100 is an abundant number, since it is smaller than the sum of its proper divisors (1264549546900).

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

1003305301100 is a wasteful number, since it uses less digits than its factorization.

1003305301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 17.

The spelling of 1003305301100 in words is "one trillion, three billion, three hundred five million, three hundred one thousand, one hundred".