131011142020020 has 144 divisors (see below), whose sum is σ = 412255373886720. Its totient is φ = 34924743789696.

The previous prime is 131011142019959. The next prime is 131011142020051. The reversal of 131011142020020 is 20020241110131.

131011142020020 is a `hidden beast` number, since 1 + 3 + 10 + 1 + 11 + 420 + 200 + 20 = 666.

It is a super-3 number, since 3×131011142020020³ (a number of 43 digits) contains 333 as substring.

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 = 131011142019975 and 131011142020002.

It is a congruent number.

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, 10233126 + ... + 19150434.

It is an arithmetic number, because the mean of its divisors is an integer number (2862884540880).

Almost surely, 2^{131011142020020} is an apocalyptic number.

131011142020020 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 131011142020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206127686943360).

131011142020020 is an abundant number, since it is smaller than the sum of its proper divisors (281244231866700).

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

131011142020020 is a wasteful number, since it uses less digits than its factorization.

131011142020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8920356 (or 8920342 counting only the distinct ones).

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

Adding to 131011142020020 its reverse (20020241110131), we get a palindrome (151031383130151).

The spelling of 131011142020020 in words is "one hundred thirty-one trillion, eleven billion, one hundred forty-two million, twenty thousand, twenty".