131112001312100 has 36 divisors (see below), whose sum is σ = 284518846063284. Its totient is φ = 52443730807680.

The previous prime is 131112001312087. The next prime is 131112001312129. The reversal of 131112001312100 is 1213100211131.

It can be written as a sum of positive squares in 6 ways, for example, as 8028597576484 + 123083403735616 = 2833478^2 + 11094296^2 .

It is a super-2 number, since 2×131112001312100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8435207 + ... + 18258606.

Almost surely, 2^{131112001312100} is an apocalyptic number.

131112001312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131112001312100 is an abundant number, since it is smaller than the sum of its proper divisors (153406844751184).

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

131112001312100 is a wasteful number, since it uses less digits than its factorization.

131112001312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26742944 (or 26742937 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 131112001312100 its reverse (1213100211131), we get a palindrome (132325101523231).

The spelling of 131112001312100 in words is "one hundred thirty-one trillion, one hundred twelve billion, one million, three hundred twelve thousand, one hundred".