1304345141333 has 12 divisors (see below), whose sum is σ = 1411995749220. Its totient is φ = 1197772056576.

The previous prime is 1304345141327. The next prime is 1304345141389. The reversal of 1304345141333 is 3331415434031.

It can be written as a sum of positive squares in 6 ways, for example, as 639269008849 + 665076132484 = 799543^2 + 815522^2 .

It is not a de Polignac number, because 1304345141333 - 2⁴ = 1304345141317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1304345141293 and 1304345141302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304345149333) 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 11 ways as a sum of consecutive naturals, for example, 862568 + ... + 1831041.

It is an arithmetic number, because the mean of its divisors is an integer number (117666312435).

Almost surely, 2^{1304345141333} is an apocalyptic number.

1304345141333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1304345141333 is a deficient number, since it is larger than the sum of its proper divisors (107650607887).

1304345141333 is an equidigital number, since it uses as much as digits as its factorization.

1304345141333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694008 (or 2693815 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

The spelling of 1304345141333 in words is "one trillion, three hundred four billion, three hundred forty-five million, one hundred forty-one thousand, three hundred thirty-three".