1304313042144 has 192 divisors, whose sum is σ = 3933998433792. Its totient is φ = 370660147200.

The previous prime is 1304313042101. The next prime is 1304313042161. The reversal of 1304313042144 is 4412403134031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108950079 + ... + 108962049.

It is an arithmetic number, because the mean of its divisors is an integer number (20489575176).

Almost surely, 2^{1304313042144} is an apocalyptic number.

1304313042144 is a gapful number since it is divisible by the number (14) 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 1304313042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966999216896).

1304313042144 is an abundant number, since it is smaller than the sum of its proper divisors (2629685391648).

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

1304313042144 is a wasteful number, since it uses less digits than its factorization.

1304313042144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12849 (or 12841 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 1304313042144 its reverse (4412403134031), we get a palindrome (5716716176175).

The spelling of 1304313042144 in words is "one trillion, three hundred four billion, three hundred thirteen million, forty-two thousand, one hundred forty-four".