103303310223330 has 320 divisors, whose sum is σ = 321801503063040. Its totient is φ = 23289335986176.

The previous prime is 103303310223257. The next prime is 103303310223343. The reversal of 103303310223330 is 33322013303301.

103303310223330 is a `hidden beast` number, since 1 + 0 + 3 + 303 + 3 + 1 + 0 + 2 + 23 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103303310223294 and 103303310223303.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 437509584 + ... + 437745636.

It is an arithmetic number, because the mean of its divisors is an integer number (1005629697072).

Almost surely, 2^{103303310223330} is an apocalyptic number.

103303310223330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103303310223330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160900751531520).

103303310223330 is an abundant number, since it is smaller than the sum of its proper divisors (218498192839710).

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

103303310223330 is a wasteful number, since it uses less digits than its factorization.

103303310223330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237135 (or 237126 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 103303310223330 its reverse (33322013303301), we get a palindrome (136625323526631).

The spelling of 103303310223330 in words is "one hundred three trillion, three hundred three billion, three hundred ten million, two hundred twenty-three thousand, three hundred thirty".