131011113310020 has 72 divisors (see below), whose sum is σ = 420776869817304. Its totient is φ = 32881220594688.

The previous prime is 131011113309991. The next prime is 131011113310081. The reversal of 131011113310020 is 20013311110131.

131011113310020 is a `hidden beast` number, since 1 + 310 + 1 + 1 + 1 + 1 + 331 + 0 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20186815364676 + 110824297945344 = 4492974^2 + 10527312^2 .

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 = 131011113309975 and 131011113310002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21407041599 + ... + 21407047718.

It is an arithmetic number, because the mean of its divisors is an integer number (5844123191907).

Almost surely, 2^{131011113310020} is an apocalyptic number.

131011113310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131011113310020 is an abundant number, since it is smaller than the sum of its proper divisors (289765756507284).

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

131011113310020 is a wasteful number, since it uses less digits than its factorization.

131011113310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42814089349 (or 42814089344 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131011113310020 its reverse (20013311110131), we get a palindrome (151024424420151).

The spelling of 131011113310020 in words is "one hundred thirty-one trillion, eleven billion, one hundred thirteen million, three hundred ten thousand, twenty".