2304133001300 has 72 divisors (see below), whose sum is σ = 5530110930456. Its totient is φ = 827763356160.

The previous prime is 2304133001267. The next prime is 2304133001309. The reversal of 2304133001300 is 31003314032.

It can be written as a sum of positive squares in 12 ways, for example, as 169687972624 + 2134445028676 = 411932^2 + 1460974^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2304133001309) 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 23 ways as a sum of consecutive naturals, for example, 23903387 + ... + 23999586.

Almost surely, 2^{2304133001300} is an apocalyptic number.

2304133001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2304133001300 is an abundant number, since it is smaller than the sum of its proper divisors (3225977929156).

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

2304133001300 is a wasteful number, since it uses less digits than its factorization.

2304133001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47903037 (or 47903030 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2304133001300 its reverse (31003314032), we get a palindrome (2335136315332).

It can be divided in two parts, 230413300 and 1300, that multiplied together give a square (299537290000 = 547300²).

The spelling of 2304133001300 in words is "two trillion, three hundred four billion, one hundred thirty-three million, one thousand, three hundred".