103333302121312 has 96 divisors (see below), whose sum is σ = 219927039192000. Its totient is φ = 47645639129088.

The previous prime is 103333302121279. The next prime is 103333302121391. The reversal of 103333302121312 is 213121203333301.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10874314 + ... + 18025462.

It is an arithmetic number, because the mean of its divisors is an integer number (2290906658250).

Almost surely, 2^{103333302121312} 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 103333302121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109963519596000).

103333302121312 is an abundant number, since it is smaller than the sum of its proper divisors (116593737070688).

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

103333302121312 is a wasteful number, since it uses less digits than its factorization.

103333302121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7151888 (or 7151880 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 103333302121312 its reverse (213121203333301), we get a palindrome (316454505454613).

The spelling of 103333302121312 in words is "one hundred three trillion, three hundred thirty-three billion, three hundred two million, one hundred twenty-one thousand, three hundred twelve".