1303331130304 has 168 divisors, whose sum is σ = 3047475030768. Its totient is φ = 551384064000.

The previous prime is 1303331130289. The next prime is 1303331130347. The reversal of 1303331130304 is 4030311333031.

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, 88939042 + ... + 88953694.

It is an arithmetic number, because the mean of its divisors is an integer number (18139732326).

Almost surely, 2^{1303331130304} is an apocalyptic number.

1303331130304 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 1303331130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523737515384).

1303331130304 is an abundant number, since it is smaller than the sum of its proper divisors (1744143900464).

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

1303331130304 is a wasteful number, since it uses less digits than its factorization.

1303331130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15043 (or 15026 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 1303331130304 its reverse (4030311333031), we get a palindrome (5333642463335).

The spelling of 1303331130304 in words is "one trillion, three hundred three billion, three hundred thirty-one million, one hundred thirty thousand, three hundred four".