51131313200 has 360 divisors, whose sum is σ = 142425550848. Its totient is φ = 17475840000.

The previous prime is 51131313157. The next prime is 51131313203. The reversal of 51131313200 is 231313115.

It is a super-2 number, since 2×51131313200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51131313203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 229288289 + ... + 229288511.

Almost surely, 2^51131313200 is an apocalyptic number.

51131313200 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 51131313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71212775424).

51131313200 is an abundant number, since it is smaller than the sum of its proper divisors (91294237648).

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

51131313200 is a wasteful number, since it uses less digits than its factorization.

51131313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 51131313200 its reverse (231313115), we get a palindrome (51362626315).

The spelling of 51131313200 in words is "fifty-one billion, one hundred thirty-one million, three hundred thirteen thousand, two hundred".