131123213200 has 240 divisors, whose sum is σ = 372751142400. Its totient is φ = 43394088960.

The previous prime is 131123213189. The next prime is 131123213209. The reversal of 131123213200 is 2312321131.

It is not an unprimeable number, because it can be changed into a prime (131123213209) by changing a digit.

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, 9599976 + ... + 9613624.

It is an arithmetic number, because the mean of its divisors is an integer number (1553129760).

Almost surely, 2^131123213200 is an apocalyptic number.

131123213200 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 131123213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186375571200).

131123213200 is an abundant number, since it is smaller than the sum of its proper divisors (241627929200).

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

131123213200 is a wasteful number, since it uses less digits than its factorization.

131123213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13794 (or 13783 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 131123213200 its reverse (2312321131), we get a palindrome (133435534331).

The spelling of 131123213200 in words is "one hundred thirty-one billion, one hundred twenty-three million, two hundred thirteen thousand, two hundred".