2300133120 has 144 divisors (see below), whose sum is σ = 7545058080. Its totient is φ = 596754432.

The previous prime is 2300133109. The next prime is 2300133137. The reversal of 2300133120 is 213310032.

It is a super-2 number, since 2×2300133120² = 10581224739441868800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2300133120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133986 + ... + 150174.

Almost surely, 2^2300133120 is an apocalyptic number.

2300133120 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 2300133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772529040).

2300133120 is an abundant number, since it is smaller than the sum of its proper divisors (5244924960).

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

2300133120 is a wasteful number, since it uses less digits than its factorization.

2300133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16250 (or 16236 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2300133120 is about 47959.7030849858. The cubic root of 2300133120 is about 1320.0315878575.

Adding to 2300133120 its reverse (213310032), we get a palindrome (2513443152).

The spelling of 2300133120 in words is "two billion, three hundred million, one hundred thirty-three thousand, one hundred twenty".