300113041414020 has 288 divisors, whose sum is σ = 897813596744064. Its totient is φ = 74809389957120.

The previous prime is 300113041414013. The next prime is 300113041414093. The reversal of 300113041414020 is 20414140311003.

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 95 ways as a sum of consecutive naturals, for example, 354784212 + ... + 355629108.

It is an arithmetic number, because the mean of its divisors is an integer number (3117408322028).

Almost surely, 2^{300113041414020} is an apocalyptic number.

300113041414020 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 300113041414020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448906798372032).

300113041414020 is an abundant number, since it is smaller than the sum of its proper divisors (597700555330044).

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

300113041414020 is a wasteful number, since it uses less digits than its factorization.

300113041414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845111 (or 845048 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 300113041414020 its reverse (20414140311003), we get a palindrome (320527181725023).

The spelling of 300113041414020 in words is "three hundred trillion, one hundred thirteen billion, forty-one million, four hundred fourteen thousand, twenty".