131220102202112 has 144 divisors (see below), whose sum is σ = 326576118484224. Its totient is φ = 51122053632000.

The previous prime is 131220102202103. The next prime is 131220102202229. The reversal of 131220102202112 is 211202201022131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402178562 + ... + 402504702.

It is an arithmetic number, because the mean of its divisors is an integer number (2267889711696).

Almost surely, 2^{131220102202112} 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 131220102202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163288059242112).

131220102202112 is an abundant number, since it is smaller than the sum of its proper divisors (195356016282112).

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

131220102202112 is a wasteful number, since it uses less digits than its factorization.

131220102202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346586 (or 346572 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 131220102202112 its reverse (211202201022131), we get a palindrome (342422303224243).

The spelling of 131220102202112 in words is "one hundred thirty-one trillion, two hundred twenty billion, one hundred two million, two hundred two thousand, one hundred twelve".