131122213200 has 360 divisors, whose sum is σ = 509818741536. Its totient is φ = 30927744000.

The previous prime is 131122213199. The next prime is 131122213213. The reversal of 131122213200 is 2312221131.

131122213200 is a `hidden beast` number, since 1 + 311 + 222 + 132 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 1420455 + ... + 1509945.

Almost surely, 2^131122213200 is an apocalyptic number.

131122213200 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 131122213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254909370768).

131122213200 is an abundant number, since it is smaller than the sum of its proper divisors (378696528336).

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

131122213200 is a wasteful number, since it uses less digits than its factorization.

131122213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89563 (or 89549 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131122213200 its reverse (2312221131), we get a palindrome (133434434331).

The spelling of 131122213200 in words is "one hundred thirty-one billion, one hundred twenty-two million, two hundred thirteen thousand, two hundred".