300011310010020 has 192 divisors, whose sum is σ = 973209939609600. Its totient is φ = 67633075325952.

The previous prime is 300011310009907. The next prime is 300011310010127. The reversal of 300011310010020 is 20010013110003.

It is a super-2 number, since 2×300011310010020² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 300011310009978 and 300011310010005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1775098839 + ... + 1775267841.

It is an arithmetic number, because the mean of its divisors is an integer number (5068801768800).

Almost surely, 2^{300011310010020} is an apocalyptic number.

300011310010020 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 300011310010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486604969804800).

300011310010020 is an abundant number, since it is smaller than the sum of its proper divisors (673198629599580).

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

300011310010020 is a wasteful number, since it uses less digits than its factorization.

300011310010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226994 (or 226992 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 300011310010020 its reverse (20010013110003), we get a palindrome (320021323120023).

The spelling of 300011310010020 in words is "three hundred trillion, eleven billion, three hundred ten million, ten thousand, twenty".