131232120333000 has 256 divisors, whose sum is σ = 415262355056640. Its totient is φ = 34498077152000.

The previous prime is 131232120332983. The next prime is 131232120333011. The reversal of 131232120333000 is 333021232131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1960205527 + ... + 1960272473.

It is an arithmetic number, because the mean of its divisors is an integer number (1622118574440).

Almost surely, 2^{131232120333000} is an apocalyptic number.

131232120333000 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 131232120333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207631177528320).

131232120333000 is an abundant number, since it is smaller than the sum of its proper divisors (284030234723640).

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

131232120333000 is a wasteful number, since it uses less digits than its factorization.

131232120333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76245 (or 76231 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 131232120333000 its reverse (333021232131), we get a palindrome (131565141565131).

The spelling of 131232120333000 in words is "one hundred thirty-one trillion, two hundred thirty-two billion, one hundred twenty million, three hundred thirty-three thousand".