131220033120000 has 540 divisors, whose sum is σ = 515752747934424. Its totient is φ = 31810913280000.

The previous prime is 131220033119957. The next prime is 131220033120041. The reversal of 131220033120000 is 21330022131.

131220033120000 is a `hidden beast` number, since 1 + 312 + 2 + 0 + 0 + 331 + 20 + 0 + 0 + 0 = 666.

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11697954 + ... + 19982046.

Almost surely, 2^{131220033120000} is an apocalyptic number.

131220033120000 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 131220033120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257876373967212).

131220033120000 is an abundant number, since it is smaller than the sum of its proper divisors (384532714814424).

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

131220033120000 is an equidigital number, since it uses as much as digits as its factorization.

131220033120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8284146 (or 8284114 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131220033120000 its reverse (21330022131), we get a palindrome (131241363142131).

The spelling of 131220033120000 in words is "one hundred thirty-one trillion, two hundred twenty billion, thirty-three million, one hundred twenty thousand".