103233313032320 has 64 divisors (see below), whose sum is σ = 246946290162840. Its totient is φ = 41267532595200.

The previous prime is 103233313032299. The next prime is 103233313032323. The reversal of 103233313032320 is 23230313332301.

It can be written as a sum of positive squares in 4 ways, for example, as 95391476124736 + 7841836907584 = 9766856^2 + 2800328^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (103233313032323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49350767 + ... + 51400046.

Almost surely, 2^{103233313032320} is an apocalyptic number.

103233313032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103233313032320 is an abundant number, since it is smaller than the sum of its proper divisors (143712977130520).

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

103233313032320 is a wasteful number, since it uses less digits than its factorization.

103233313032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100752433 (or 100752421 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 103233313032320 its reverse (23230313332301), we get a palindrome (126463626364621).

The spelling of 103233313032320 in words is "one hundred three trillion, two hundred thirty-three billion, three hundred thirteen million, thirty-two thousand, three hundred twenty".