1304314521104 has 240 divisors, whose sum is σ = 3042505642176. Its totient is φ = 539834803200.

The previous prime is 1304314521089. The next prime is 1304314521109. The reversal of 1304314521104 is 4011254134031.

It is a super-2 number, since 2×1304314521104² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1304314521109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1477139447 + ... + 1477140329.

Almost surely, 2^{1304314521104} is an apocalyptic number.

1304314521104 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 1304314521104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521252821088).

1304314521104 is an abundant number, since it is smaller than the sum of its proper divisors (1738191121072).

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

1304314521104 is a wasteful number, since it uses less digits than its factorization.

1304314521104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 1304314521104 its reverse (4011254134031), we get a palindrome (5315568655135).

The spelling of 1304314521104 in words is "one trillion, three hundred four billion, three hundred fourteen million, five hundred twenty-one thousand, one hundred four".