5105303313012 has 288 divisors, whose sum is σ = 15631199700480. Its totient is φ = 1374133662720.

The previous prime is 5105303312999. The next prime is 5105303313031. The reversal of 5105303313012 is 2103133035015.

5105303313012 is a `hidden beast` number, since 51 + 0 + 5 + 303 + 3 + 1 + 301 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70069233 + ... + 70142055.

It is an arithmetic number, because the mean of its divisors is an integer number (54274998960).

Almost surely, 2^{5105303313012} 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 5105303313012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7815599850240).

5105303313012 is an abundant number, since it is smaller than the sum of its proper divisors (10525896387468).

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

5105303313012 is a wasteful number, since it uses less digits than its factorization.

5105303313012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73103 (or 73098 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 5105303313012 its reverse (2103133035015), we get a palindrome (7208436348027).

The spelling of 5105303313012 in words is "five trillion, one hundred five billion, three hundred three million, three hundred thirteen thousand, twelve".