20102013000300 has 576 divisors, whose sum is σ = 74044174869504. Its totient is φ = 4089703219200.

The previous prime is 20102013000283. The next prime is 20102013000397. The reversal of 20102013000300 is 300031020102.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 230979594 + ... + 231066606.

It is an arithmetic number, because the mean of its divisors is an integer number (128548914704).

Almost surely, 2^{20102013000300} is an apocalyptic number.

20102013000300 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 20102013000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37022087434752).

20102013000300 is an abundant number, since it is smaller than the sum of its proper divisors (53942161869204).

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

20102013000300 is a wasteful number, since it uses less digits than its factorization.

20102013000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87258 (or 87251 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20102013000300 its reverse (300031020102), we get a palindrome (20402044020402).

The spelling of 20102013000300 in words is "twenty trillion, one hundred two billion, thirteen million, three hundred", and thus it is an aban number.