131141100101312 has 112 divisors (see below), whose sum is σ = 299625715200000. Its totient is φ = 55784682215424.

The previous prime is 131141100101309. The next prime is 131141100101329. The reversal of 131141100101312 is 213101001141131.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244398689 + ... + 244934687.

It is an arithmetic number, because the mean of its divisors is an integer number (2675229600000).

Almost surely, 2^{131141100101312} 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 131141100101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149812857600000).

131141100101312 is an abundant number, since it is smaller than the sum of its proper divisors (168484615098688).

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

131141100101312 is a wasteful number, since it uses less digits than its factorization.

131141100101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540086 (or 540076 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 131141100101312 its reverse (213101001141131), we get a palindrome (344242101242443).

The spelling of 131141100101312 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred million, one hundred one thousand, three hundred twelve".