131022023110020 has 432 divisors, whose sum is σ = 468114510754800. Its totient is φ = 29574899730432.

The previous prime is 131022023110007. The next prime is 131022023110067. The reversal of 131022023110020 is 20011320220131.

131022023110020 is a `hidden beast` number, since 1 + 310 + 2 + 2 + 0 + 231 + 100 + 20 = 666.

131022023110020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1349690944644 + 129672332165376 = 1161762^2 + 11387376^2 .

It is a super-2 number, since 2×131022023110020² (a number of 29 digits) contains 22 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 = 131022023109975 and 131022023110002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 227064994 + ... + 227641286.

It is an arithmetic number, because the mean of its divisors is an integer number (1083598404525).

Almost surely, 2^{131022023110020} is an apocalyptic number.

131022023110020 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 131022023110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234057255377400).

131022023110020 is an abundant number, since it is smaller than the sum of its proper divisors (337092487644780).

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

131022023110020 is a wasteful number, since it uses less digits than its factorization.

131022023110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576644 (or 576632 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131022023110020 its reverse (20011320220131), we get a palindrome (151033343330151).

The spelling of 131022023110020 in words is "one hundred thirty-one trillion, twenty-two billion, twenty-three million, one hundred ten thousand, twenty".