1003313121200 has 120 divisors (see below), whose sum is σ = 2597082557328. Its totient is φ = 370282429440.

The previous prime is 1003313121131. The next prime is 1003313121211. The reversal of 1003313121200 is 21213133001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11464007 + ... + 11551193.

Almost surely, 2^{1003313121200} is an apocalyptic number.

1003313121200 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 1003313121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298541278664).

1003313121200 is an abundant number, since it is smaller than the sum of its proper divisors (1593769436128).

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

1003313121200 is a wasteful number, since it uses less digits than its factorization.

1003313121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89431 (or 89420 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1003313121200 its reverse (21213133001), we get a palindrome (1024526254201).

The spelling of 1003313121200 in words is "one trillion, three billion, three hundred thirteen million, one hundred twenty-one thousand, two hundred".