131311310200 has 192 divisors, whose sum is σ = 372554012160. Its totient is φ = 42061662720.

The previous prime is 131311310197. The next prime is 131311310279. The reversal of 131311310200 is 2013113131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1337182 + ... + 1432018.

It is an arithmetic number, because the mean of its divisors is an integer number (1940385480).

Almost surely, 2^131311310200 is an apocalyptic number.

131311310200 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 131311310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186277006080).

131311310200 is an abundant number, since it is smaller than the sum of its proper divisors (241242701960).

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

131311310200 is a wasteful number, since it uses less digits than its factorization.

131311310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94926 (or 94917 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 131311310200 its reverse (2013113131), we get a palindrome (133324423331).

The spelling of 131311310200 in words is "one hundred thirty-one billion, three hundred eleven million, three hundred ten thousand, two hundred".