3133120105050 has 192 divisors, whose sum is σ = 8863496699904. Its totient is φ = 725582131200.

The previous prime is 3133120105013. The next prime is 3133120105057. The reversal of 3133120105050 is 505010213313.

3133120105050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3133120105050.

It is not an unprimeable number, because it can be changed into a prime (3133120105057) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92703655 + ... + 92737445.

It is an arithmetic number, because the mean of its divisors is an integer number (46164045312).

Almost surely, 2^{3133120105050} is an apocalyptic number.

3133120105050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133120105050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431748349952).

3133120105050 is an abundant number, since it is smaller than the sum of its proper divisors (5730376594854).

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

3133120105050 is a wasteful number, since it uses less digits than its factorization.

3133120105050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36633 (or 36628 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 3133120105050 its reverse (505010213313), we get a palindrome (3638130318363).

The spelling of 3133120105050 in words is "three trillion, one hundred thirty-three billion, one hundred twenty million, one hundred five thousand, fifty".