1003310312100 has 144 divisors (see below), whose sum is σ = 3058778184000. Its totient is φ = 253212203520.

The previous prime is 1003310312083. The next prime is 1003310312113. The reversal of 1003310312100 is 12130133001.

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 1003310312100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5594626 + ... + 5771174.

Almost surely, 2^{1003310312100} is an apocalyptic number.

1003310312100 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 1003310312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529389092000).

1003310312100 is an abundant number, since it is smaller than the sum of its proper divisors (2055467871900).

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

1003310312100 is a wasteful number, since it uses less digits than its factorization.

1003310312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177582 (or 177575 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1003310312100 its reverse (12130133001), we get a palindrome (1015440445101).

The spelling of 1003310312100 in words is "one trillion, three billion, three hundred ten million, three hundred twelve thousand, one hundred".