1300233100 has 72 divisors (see below), whose sum is σ = 3044055168. Its totient is φ = 480230400.

The previous prime is 1300233059. The next prime is 1300233101. The reversal of 1300233100 is 13320031.

It is a super-2 number, since 2×1300233100² = 3381212228671220000, which contains 22 as substring.

1300233100 is a modest number, since divided by 233100 gives 1300 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1300233101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82885 + ... + 97315.

It is an arithmetic number, because the mean of its divisors is an integer number (42278544).

Almost surely, 2^1300233100 is an apocalyptic number.

1300233100 is a gapful number since it is divisible by the number (10) 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 1300233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522027584).

1300233100 is an abundant number, since it is smaller than the sum of its proper divisors (1743822068).

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

1300233100 is a wasteful number, since it uses less digits than its factorization.

1300233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14515 (or 14508 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1300233100 is about 36058.7451251427. The cubic root of 1300233100 is about 1091.4581108757.

Adding to 1300233100 its reverse (13320031), we get a palindrome (1313553131).

The spelling of 1300233100 in words is "one billion, three hundred million, two hundred thirty-three thousand, one hundred".