1304213513200 has 120 divisors (see below), whose sum is σ = 3376005116288. Its totient is φ = 481326935040.

The previous prime is 1304213513179. The next prime is 1304213513297. The reversal of 1304213513200 is 23153124031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11085082 + ... + 11202118.

Almost surely, 2^{1304213513200} is an apocalyptic number.

1304213513200 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 1304213513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688002558144).

1304213513200 is an abundant number, since it is smaller than the sum of its proper divisors (2071791603088).

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

1304213513200 is a wasteful number, since it uses less digits than its factorization.

1304213513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119211 (or 119200 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 1304213513200 its reverse (23153124031), we get a palindrome (1327366637231).

The spelling of 1304213513200 in words is "one trillion, three hundred four billion, two hundred thirteen million, five hundred thirteen thousand, two hundred".