103003013003300 has 216 divisors, whose sum is σ = 250219588983840. Its totient is φ = 36694807142400.

The previous prime is 103003013003257. The next prime is 103003013003309. The reversal of 103003013003300 is 3300310300301.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (103003013003309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 483650639 + ... + 483863561.

Almost surely, 2^{103003013003300} is an apocalyptic number.

103003013003300 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 103003013003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125109794491920).

103003013003300 is an abundant number, since it is smaller than the sum of its proper divisors (147216575980540).

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

103003013003300 is a wasteful number, since it uses less digits than its factorization.

103003013003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213871 (or 213847 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 17.

Adding to 103003013003300 its reverse (3300310300301), we get a palindrome (106303323303601).

The spelling of 103003013003300 in words is "one hundred three trillion, three billion, thirteen million, three thousand, three hundred".