301313101012020 has 144 divisors (see below), whose sum is σ = 917819235645312. Its totient is φ = 80013484488960.

The previous prime is 301313101011997. The next prime is 301313101012097. The reversal of 301313101012020 is 20210101313103.

301313101012020 is a `hidden beast` number, since 301 + 3 + 1 + 310 + 10 + 1 + 20 + 20 = 666.

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 = 301313101011984 and 301313101012002.

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, 47857329 + ... + 53786151.

Almost surely, 2^{301313101012020} is an apocalyptic number.

301313101012020 is a gapful number since it is divisible by the number (30) 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 301313101012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458909617822656).

301313101012020 is an abundant number, since it is smaller than the sum of its proper divisors (616506134633292).

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

301313101012020 is a wasteful number, since it uses less digits than its factorization.

301313101012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5930022 (or 5930017 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 301313101012020 its reverse (20210101313103), we get a palindrome (321523202325123).

The spelling of 301313101012020 in words is "three hundred one trillion, three hundred thirteen billion, one hundred one million, twelve thousand, twenty".