5133133205200 has 480 divisors, whose sum is σ = 16612456734720. Its totient is φ = 1472019609600.

The previous prime is 5133133205197. The next prime is 5133133205201. The reversal of 5133133205200 is 25023313315.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5133133205201) 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, 122901921 + ... + 122943679.

It is an arithmetic number, because the mean of its divisors is an integer number (34609284864).

Almost surely, 2^{5133133205200} is an apocalyptic number.

5133133205200 is a gapful number since it is divisible by the number (50) 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 5133133205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8306228367360).

5133133205200 is an abundant number, since it is smaller than the sum of its proper divisors (11479323529520).

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

5133133205200 is a wasteful number, since it uses less digits than its factorization.

5133133205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42115 (or 42104 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

Adding to 5133133205200 its reverse (25023313315), we get a palindrome (5158156518515).

The spelling of 5133133205200 in words is "five trillion, one hundred thirty-three billion, one hundred thirty-three million, two hundred five thousand, two hundred".