131122328400 has 1080 divisors, whose sum is σ = 564091931520. Its totient is φ = 27576299520.

The previous prime is 131122328383. The next prime is 131122328413. The reversal of 131122328400 is 4823221131.

131122328400 is a `hidden beast` number, since 1 + 3 + 11 + 223 + 28 + 400 = 666.

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 215 ways as a sum of consecutive naturals, for example, 487443466 + ... + 487443734.

It is an arithmetic number, because the mean of its divisors is an integer number (522307344).

Almost surely, 2^131122328400 is an apocalyptic number.

131122328400 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 131122328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282045965760).

131122328400 is an abundant number, since it is smaller than the sum of its proper divisors (432969603120).

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

131122328400 is a wasteful number, since it uses less digits than its factorization.

131122328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131122328400 its reverse (4823221131), we get a palindrome (135945549531).

The spelling of 131122328400 in words is "one hundred thirty-one billion, one hundred twenty-two million, three hundred twenty-eight thousand, four hundred".