103310120313232 has 160 divisors (see below), whose sum is σ = 243594651801600. Its totient is φ = 41458660531200.

The previous prime is 103310120313217. The next prime is 103310120313241. The reversal of 103310120313232 is 232313021013301.

It is a super-2 number, since 2×103310120313232² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103310120313197 and 103310120313206.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 513341107 + ... + 513542317.

It is an arithmetic number, because the mean of its divisors is an integer number (1522466573760).

Almost surely, 2^{103310120313232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103310120313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121797325900800).

103310120313232 is an abundant number, since it is smaller than the sum of its proper divisors (140284531488368).

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

103310120313232 is a wasteful number, since it uses less digits than its factorization.

103310120313232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204045 (or 204039 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 103310120313232 its reverse (232313021013301), we get a palindrome (335623141326533).

The spelling of 103310120313232 in words is "one hundred three trillion, three hundred ten billion, one hundred twenty million, three hundred thirteen thousand, two hundred thirty-two".