131037283440000 has 2240 divisors, whose sum is σ = 566745796916640. Its totient is φ = 29534367744000.

The previous prime is 131037283439969. The next prime is 131037283440029. The reversal of 131037283440000 is 44382730131.

131037283440000 is a `hidden beast` number, since 1 + 3 + 103 + 72 + 83 + 4 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 29801517802 + ... + 29801522198.

Almost surely, 2^{131037283440000} is an apocalyptic number.

131037283440000 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 131037283440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283372898458320).

131037283440000 is an abundant number, since it is smaller than the sum of its proper divisors (435708513476640).

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

131037283440000 is an frugal number, since it uses more digits than its factorization.

131037283440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4529 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 131037283440000 in words is "one hundred thirty-one trillion, thirty-seven billion, two hundred eighty-three million, four hundred forty thousand".