131682600000 has 756 divisors, whose sum is σ = 549167421348. Its totient is φ = 30078720000.

The previous prime is 131682599999. The next prime is 131682600001. The reversal of 131682600000 is 6286131.

It is an interprime number because it is at equal distance from previous prime (131682599999) and next prime (131682600001).

It can be written as a sum of positive squares in 6 ways, for example, as 84569292864 + 47113307136 = 290808^2 + 217056^2 .

It is not an unprimeable number, because it can be changed into a prime (131682600001) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 88199254 + ... + 88200746.

It is an arithmetic number, because the mean of its divisors is an integer number (726411933).

Almost surely, 2^131682600000 is an apocalyptic number.

131682600000 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 131682600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274583710674).

131682600000 is an abundant number, since it is smaller than the sum of its proper divisors (417484821348).

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

131682600000 is an equidigital number, since it uses as much as digits as its factorization.

131682600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131682600000 its reverse (6286131), we get a palindrome (131688886131).

The spelling of 131682600000 in words is "one hundred thirty-one billion, six hundred eighty-two million, six hundred thousand".