131350034800 has 120 divisors (see below), whose sum is σ = 317908871280. Its totient is φ = 52151500800.

The previous prime is 131350034723. The next prime is 131350034801. The reversal of 131350034800 is 8430053131.

It is a super-2 number, since 2×131350034800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131350034801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47710224 + ... + 47712976.

It is an arithmetic number, because the mean of its divisors is an integer number (2649240594).

Almost surely, 2^131350034800 is an apocalyptic number.

131350034800 is a gapful number since it is divisible by the number (10) 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 131350034800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158954435640).

131350034800 is an abundant number, since it is smaller than the sum of its proper divisors (186558836480).

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

131350034800 is a wasteful number, since it uses less digits than its factorization.

131350034800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 131350034800 its reverse (8430053131), we get a palindrome (139780087931).

The spelling of 131350034800 in words is "one hundred thirty-one billion, three hundred fifty million, thirty-four thousand, eight hundred".