1304435444013 has 12 divisors (see below), whose sum is σ = 2029121801980. Its totient is φ = 802729503936.

The previous prime is 1304435444003. The next prime is 1304435444023. The reversal of 1304435444013 is 3104445344031.

1304435444013 is a `hidden beast` number, since 1 + 30 + 4 + 43 + 544 + 40 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (1304435444003) and next prime (1304435444023).

It can be written as a sum of positive squares in 2 ways, for example, as 278027362089 + 1026408081924 = 527283^2 + 1013118^2 .

It is not a de Polignac number, because 1304435444013 - 2⁵ = 1304435443981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304435444003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5574510328 + ... + 5574510561.

Almost surely, 2^{1304435444013} is an apocalyptic number.

1304435444013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1304435444013 is a deficient number, since it is larger than the sum of its proper divisors (724686357967).

1304435444013 is a wasteful number, since it uses less digits than its factorization.

1304435444013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11149020908 (or 11149020905 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 1304435444013 in words is "one trillion, three hundred four billion, four hundred thirty-five million, four hundred forty-four thousand, thirteen".