131201340000100 has 18 divisors (see below), whose sum is σ = 284706907800434. Its totient is φ = 52480536000000.

The previous prime is 131201340000067. The next prime is 131201340000187. The reversal of 131201340000100 is 1000043102131.

It can be written as a sum of positive squares in 3 ways, for example, as 1748509025344 + 129452830974756 = 1322312^2 + 11377734^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 656006699901 + ... + 656006700100.

Almost surely, 2^{131201340000100} is an apocalyptic number.

131201340000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201340000100 is an abundant number, since it is smaller than the sum of its proper divisors (153505567800334).

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

131201340000100 is a wasteful number, since it uses less digits than its factorization.

131201340000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312013400015 (or 1312013400008 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 131201340000100 its reverse (1000043102131), we get a palindrome (132201383102231).

The spelling of 131201340000100 in words is "one hundred thirty-one trillion, two hundred one billion, three hundred forty million, one hundred", and thus it is an aban number.