103312113302112 has 384 divisors, whose sum is σ = 322298376261120. Its totient is φ = 28564531200000.

The previous prime is 103312113302077. The next prime is 103312113302129. The reversal of 103312113302112 is 211203311213301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 833241339 + ... + 833365317.

It is an arithmetic number, because the mean of its divisors is an integer number (839318688180).

Almost surely, 2^{103312113302112} is an apocalyptic number.

103312113302112 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 103312113302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161149188130560).

103312113302112 is an abundant number, since it is smaller than the sum of its proper divisors (218986262959008).

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

103312113302112 is a wasteful number, since it uses less digits than its factorization.

103312113302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124718 (or 124710 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 103312113302112 its reverse (211203311213301), we get a palindrome (314515424515413).

The spelling of 103312113302112 in words is "one hundred three trillion, three hundred twelve billion, one hundred thirteen million, three hundred two thousand, one hundred twelve".