10103330000 has 100 divisors (see below), whose sum is σ = 24680402868. Its totient is φ = 4005120000.

The previous prime is 10103329967. The next prime is 10103330051. The reversal of 10103330000 is 3330101.

It can be written as a sum of positive squares in 10 ways, for example, as 9453283984 + 650046016 = 97228^2 + 25496^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1125530 + ... + 1134470.

Almost surely, 2^10103330000 is an apocalyptic number.

10103330000 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 10103330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12340201434).

10103330000 is an abundant number, since it is smaller than the sum of its proper divisors (14577072868).

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

10103330000 is an equidigital number, since it uses as much as digits as its factorization.

10103330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9082 (or 9061 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 10103330000 its reverse (3330101), we get a palindrome (10106660101).

The spelling of 10103330000 in words is "ten billion, one hundred three million, three hundred thirty thousand".