131233132224000 has 480 divisors, whose sum is σ = 475052812977600. Its totient is φ = 34819614720000.

The previous prime is 131233132223987. The next prime is 131233132224137. The reversal of 131233132224000 is 422231332131.

131233132224000 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 31 + 3 + 222 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114051550 + ... + 115196450.

It is an arithmetic number, because the mean of its divisors is an integer number (989693360370).

Almost surely, 2^{131233132224000} is an apocalyptic number.

131233132224000 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 131233132224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237526406488800).

131233132224000 is an abundant number, since it is smaller than the sum of its proper divisors (343819680753600).

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

131233132224000 is a wasteful number, since it uses less digits than its factorization.

131233132224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145139 (or 1145110 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131233132224000 its reverse (422231332131), we get a palindrome (131655363556131).

The spelling of 131233132224000 in words is "one hundred thirty-one trillion, two hundred thirty-three billion, one hundred thirty-two million, two hundred twenty-four thousand".