131201142100020 has 240 divisors, whose sum is σ = 411908687910720. Its totient is φ = 34959285559296.

The previous prime is 131201142099983. The next prime is 131201142100027. The reversal of 131201142100020 is 20001241102131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131201142099966 and 131201142100002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201142100027) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14219258647 + ... + 14219267873.

It is an arithmetic number, because the mean of its divisors is an integer number (1716286199628).

Almost surely, 2^{131201142100020} is an apocalyptic number.

131201142100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131201142100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205954343955360).

131201142100020 is an abundant number, since it is smaller than the sum of its proper divisors (280707545810700).

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

131201142100020 is a wasteful number, since it uses less digits than its factorization.

131201142100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15244 (or 15233 counting only the distinct ones).

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

Adding to 131201142100020 its reverse (20001241102131), we get a palindrome (151202383202151).

The spelling of 131201142100020 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred forty-two million, one hundred thousand, twenty".