5113131321200 has 480 divisors, whose sum is σ = 15159321408000. Its totient is φ = 1652038778880.

The previous prime is 5113131321173. The next prime is 5113131321211. The reversal of 5113131321200 is 21231313115.

It is a super-2 number, since 2×5113131321200² (a number of 26 digits) contains 22 as substring.

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, 503107319 + ... + 503117481.

It is an arithmetic number, because the mean of its divisors is an integer number (31581919600).

Almost surely, 2^{5113131321200} is an apocalyptic number.

5113131321200 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 5113131321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7579660704000).

5113131321200 is an abundant number, since it is smaller than the sum of its proper divisors (10046190086800).

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

5113131321200 is a wasteful number, since it uses less digits than its factorization.

5113131321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10414 (or 10389 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

Adding to 5113131321200 its reverse (21231313115), we get a palindrome (5134362634315).

The spelling of 5113131321200 in words is "five trillion, one hundred thirteen billion, one hundred thirty-one million, three hundred twenty-one thousand, two hundred".