300213303000000 has 784 divisors, whose sum is σ = 1083913266357600. Its totient is φ = 72885657600000.

The previous prime is 300213302999989. The next prime is 300213303000011. The reversal of 300213303000000 is 303312003.

It is an interprime number because it is at equal distance from previous prime (300213302999989) and next prime (300213303000011).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2846947276 + ... + 2847052724.

Almost surely, 2^{300213303000000} is an apocalyptic number.

300213303000000 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 300213303000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541956633178800).

300213303000000 is an abundant number, since it is smaller than the sum of its proper divisors (783699963357600).

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

300213303000000 is an equidigital number, since it uses as much as digits as its factorization.

300213303000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105580 (or 105545 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 300213303000000 its reverse (303312003), we get a palindrome (300213606312003).

The spelling of 300213303000000 in words is "three hundred trillion, two hundred thirteen billion, three hundred three million", and thus it is an aban number.