131311030200 has 192 divisors, whose sum is σ = 465613056000. Its totient is φ = 29988349440.

The previous prime is 131311030189. The next prime is 131311030219. The reversal of 131311030200 is 2030113131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131311030200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5149081 + ... + 5174519.

It is an arithmetic number, because the mean of its divisors is an integer number (2425068000).

Almost surely, 2^131311030200 is an apocalyptic number.

131311030200 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 131311030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232806528000).

131311030200 is an abundant number, since it is smaller than the sum of its proper divisors (334302025800).

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

131311030200 is a wasteful number, since it uses less digits than its factorization.

131311030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26694 (or 26685 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131311030200 its reverse (2030113131), we get a palindrome (133341143331).

The spelling of 131311030200 in words is "one hundred thirty-one billion, three hundred eleven million, thirty thousand, two hundred".