131132100000112 has 80 divisors (see below), whose sum is σ = 264600558319680. Its totient is φ = 62878652928000.

The previous prime is 131132100000049. The next prime is 131132100000113. The reversal of 131132100000112 is 211000001231131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131132100000113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633345118 + ... + 633552130.

It is an arithmetic number, because the mean of its divisors is an integer number (3307506978996).

Almost surely, 2^{131132100000112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131132100000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132300279159840).

131132100000112 is an abundant number, since it is smaller than the sum of its proper divisors (133468458319568).

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

131132100000112 is a wasteful number, since it uses less digits than its factorization.

131132100000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216242 (or 216236 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 131132100000112 its reverse (211000001231131), we get a palindrome (342132101231243).

The spelling of 131132100000112 in words is "one hundred thirty-one trillion, one hundred thirty-two billion, one hundred million, one hundred twelve", and thus it is an aban number.