131627306200000 has 504 divisors, whose sum is σ = 355390246068480. Its totient is φ = 48344025600000.

The previous prime is 131627306199989. The next prime is 131627306200003. The reversal of 131627306200000 is 2603726131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131627306200003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6455789806 + ... + 6455810194.

It is an arithmetic number, because the mean of its divisors is an integer number (705139377120).

Almost surely, 2^{131627306200000} is an apocalyptic number.

131627306200000 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 131627306200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177695123034240).

131627306200000 is an abundant number, since it is smaller than the sum of its proper divisors (223762939868480).

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

131627306200000 is an equidigital number, since it uses as much as digits as its factorization.

131627306200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20643 (or 20600 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

Adding to 131627306200000 its reverse (2603726131), we get a palindrome (131629909926131).

The spelling of 131627306200000 in words is "one hundred thirty-one trillion, six hundred twenty-seven billion, three hundred six million, two hundred thousand".