131123101200 has 1920 divisors, whose sum is σ = 593674002432. Its totient is φ = 23940956160.

The previous prime is 131123101147. The next prime is 131123101211. The reversal of 131123101200 is 2101321131.

It is a happy number.

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 131123101200.

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 383 ways as a sum of consecutive naturals, for example, 1579796359 + ... + 1579796441.

Almost surely, 2^131123101200 is an apocalyptic number.

131123101200 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 131123101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296837001216).

131123101200 is an abundant number, since it is smaller than the sum of its proper divisors (462550901232).

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

131123101200 is a wasteful number, since it uses less digits than its factorization.

131123101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131123101200 its reverse (2101321131), we get a palindrome (133224422331).

The spelling of 131123101200 in words is "one hundred thirty-one billion, one hundred twenty-three million, one hundred one thousand, two hundred".