1300233200 has 120 divisors (see below), whose sum is σ = 3587190048. Its totient is φ = 443658240.

The previous prime is 1300233199. The next prime is 1300233223. The reversal of 1300233200 is 23320031.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 651404 + ... + 653396.

Almost surely, 2^1300233200 is an apocalyptic number.

1300233200 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 1300233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793595024).

1300233200 is an abundant number, since it is smaller than the sum of its proper divisors (2286956848).

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

1300233200 is a wasteful number, since it uses less digits than its factorization.

1300233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 1300233200 is about 36058.7465117688. The cubic root of 1300233200 is about 1091.4581388568.

Adding to 1300233200 its reverse (23320031), we get a palindrome (1323553231).

The spelling of 1300233200 in words is "one billion, three hundred million, two hundred thirty-three thousand, two hundred".