2301312022020 has 216 divisors, whose sum is σ = 7675506198360. Its totient is φ = 557707392000.

The previous prime is 2301312021949. The next prime is 2301312022129. The reversal of 2301312022020 is 202202131032.

2301312022020 is a `hidden beast` number, since 2 + 301 + 3 + 120 + 220 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105485945796 + 2195826076224 = 324786^2 + 1481832^2 .

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 = 2301312021984 and 2301312022002.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71879776 + ... + 71911784.

Almost surely, 2^{2301312022020} is an apocalyptic number.

2301312022020 is a gapful number since it is divisible by the number (20) 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 2301312022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837753099180).

2301312022020 is an abundant number, since it is smaller than the sum of its proper divisors (5374194176340).

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

2301312022020 is a wasteful number, since it uses less digits than its factorization.

2301312022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35347 (or 35331 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2301312022020 its reverse (202202131032), we get a palindrome (2503514153052).

The spelling of 2301312022020 in words is "two trillion, three hundred one billion, three hundred twelve million, twenty-two thousand, twenty".