1300413200 has 120 divisors (see below), whose sum is σ = 3304609920. Its totient is φ = 490406400.

The previous prime is 1300413197. The next prime is 1300413217. The reversal of 1300413200 is 23140031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3016985 + ... + 3017415.

It is an arithmetic number, because the mean of its divisors is an integer number (27538416).

Almost surely, 2^1300413200 is an apocalyptic number.

1300413200 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 1300413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652304960).

1300413200 is an abundant number, since it is smaller than the sum of its proper divisors (2004196720).

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

1300413200 is a wasteful number, since it uses less digits than its factorization.

1300413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1300413200 is about 36061.2423524204. The cubic root of 1300413200 is about 1091.5085024890.

Adding to 1300413200 its reverse (23140031), we get a palindrome (1323553231).

The spelling of 1300413200 in words is "one billion, three hundred million, four hundred thirteen thousand, two hundred".