2300331213120 has 112 divisors (see below), whose sum is σ = 7310093551488. Its totient is φ = 612872202240.

The previous prime is 2300331213109. The next prime is 2300331213127. The reversal of 2300331213120 is 213121330032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300331213127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276 + ... + 2144915.

It is an arithmetic number, because the mean of its divisors is an integer number (65268692424).

Almost surely, 2^{2300331213120} is an apocalyptic number.

2300331213120 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 2300331213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655046775744).

2300331213120 is an abundant number, since it is smaller than the sum of its proper divisors (5009762338368).

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

2300331213120 is a wasteful number, since it uses less digits than its factorization.

2300331213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146328 (or 2146318 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2300331213120 its reverse (213121330032), we get a palindrome (2513452543152).

The spelling of 2300331213120 in words is "two trillion, three hundred billion, three hundred thirty-one million, two hundred thirteen thousand, one hundred twenty".