131144880000 has 320 divisors, whose sum is σ = 449370155520. Its totient is φ = 33841920000.

The previous prime is 131144879981. The next prime is 131144880001. The reversal of 131144880000 is 88441131.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-5 number, since 5×131144880000⁵ (a number of 57 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 131144880000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131144880001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7431187 + ... + 7448813.

It is an arithmetic number, because the mean of its divisors is an integer number (1404281736).

Almost surely, 2^131144880000 is an apocalyptic number.

131144880000 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 131144880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224685077760).

131144880000 is an abundant number, since it is smaller than the sum of its proper divisors (318225275520).

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

131144880000 is an equidigital number, since it uses as much as digits as its factorization.

131144880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17695 (or 17668 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 131144880000 in words is "one hundred thirty-one billion, one hundred forty-four million, eight hundred eighty thousand".