1304413110133 has 24 divisors (see below), whose sum is σ = 1607462415000. Its totient is φ = 1051758425088.

The previous prime is 1304413110107. The next prime is 1304413110137. The reversal of 1304413110133 is 3310113144031.

It can be written as a sum of positive squares in 4 ways, for example, as 335887475364 + 968525634769 = 579558^2 + 984137^2 .

It is not a de Polignac number, because 1304413110133 - 2¹³ = 1304413101941 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1304413110098 and 1304413110107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304413110137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1221793 + ... + 2025241.

It is an arithmetic number, because the mean of its divisors is an integer number (66977600625).

Almost surely, 2^{1304413110133} is an apocalyptic number.

It is an amenable number.

1304413110133 is a deficient number, since it is larger than the sum of its proper divisors (303049304867).

1304413110133 is a wasteful number, since it uses less digits than its factorization.

1304413110133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805429 (or 805422 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 1304413110133 its reverse (3310113144031), we get a palindrome (4614526254164).

The spelling of 1304413110133 in words is "one trillion, three hundred four billion, four hundred thirteen million, one hundred ten thousand, one hundred thirty-three".