131820000000 has 576 divisors, whose sum is σ = 475069096320. Its totient is φ = 32448000000.

The previous prime is 131819999957. The next prime is 131820000007. The reversal of 131820000000 is 28131.

It is a happy number.

131820000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 6500 × 3900 × 5200.

It is not an unprimeable number, because it can be changed into a prime (131820000007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10139999994 + ... + 10140000006.

Almost surely, 2^131820000000 is an apocalyptic number.

131820000000 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 131820000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237534548160).

131820000000 is an abundant number, since it is smaller than the sum of its proper divisors (343249096320).

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

131820000000 is an frugal number, since it uses more digits than its factorization.

131820000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 131820000000 its reverse (28131), we get a palindrome (131820028131).

The spelling of 131820000000 in words is "one hundred thirty-one billion, eight hundred twenty million", and thus it is an aban number.