103330000000000 has 242 divisors, whose sum is σ = 258223847250638. Its totient is φ = 41328000000000.

The previous prime is 103329999999991. The next prime is 103330000000009. The reversal of 103330000000000 is 33301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103329999999991) and next prime (103330000000009).

It can be written as a sum of positive squares in 11 ways, for example, as 3798569816064 + 99531430183936 = 1948992^2 + 9976544^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103330000000009) by changing a digit.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 9999994834 + ... + 10000005166.

Almost surely, 2^{103330000000000} is an apocalyptic number.

103330000000000 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 103330000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129111923625319).

103330000000000 is an abundant number, since it is smaller than the sum of its proper divisors (154893847250638).

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

103330000000000 is an frugal number, since it uses more digits than its factorization.

103330000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10403 (or 10340 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 10.

Adding to 103330000000000 its reverse (33301), we get a palindrome (103330000033301).

The spelling of 103330000000000 in words is "one hundred three trillion, three hundred thirty billion", and thus it is an aban number.