103303033313232 has 320 divisors, whose sum is σ = 286598936494080. Its totient is φ = 31969728000000.

The previous prime is 103303033313201. The next prime is 103303033313237. The reversal of 103303033313232 is 232313330303301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 103303033313232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103303033313237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3908391057 + ... + 3908417487.

It is an arithmetic number, because the mean of its divisors is an integer number (895621676544).

Almost surely, 2^{103303033313232} is an apocalyptic number.

103303033313232 is a gapful number since it is divisible by the number (12) 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 103303033313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143299468247040).

103303033313232 is an abundant number, since it is smaller than the sum of its proper divisors (183295903180848).

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

103303033313232 is a wasteful number, since it uses less digits than its factorization.

103303033313232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26994 (or 26988 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 30.

Adding to 103303033313232 its reverse (232313330303301), we get a palindrome (335616363616533).

The spelling of 103303033313232 in words is "one hundred three trillion, three hundred three billion, thirty-three million, three hundred thirteen thousand, two hundred thirty-two".