131201142100002 has 96 divisors (see below), whose sum is σ = 311312394325296. Its totient is φ = 39687651648000.

The previous prime is 131201142099983. The next prime is 131201142100027. The reversal of 131201142100002 is 200001241102131.

It can be written as a sum of positive squares in 8 ways, for example, as 16871564465001 + 114329577635001 = 4107501^2 + 10692501^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25833252 + ... + 30491952.

Almost surely, 2^{131201142100002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131201142100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155656197162648).

131201142100002 is an abundant number, since it is smaller than the sum of its proper divisors (180111252225294).

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

131201142100002 is a wasteful number, since it uses less digits than its factorization.

131201142100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4660756 (or 4660753 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 131201142100002 its reverse (200001241102131), we get a palindrome (331202383202133).

The spelling of 131201142100002 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred forty-two million, one hundred thousand, two".