1310133424041 has 48 divisors (see below), whose sum is σ = 2146286163840. Its totient is φ = 763432750080.

The previous prime is 1310133424031. The next prime is 1310133424069. The reversal of 1310133424041 is 1404243310131.

1310133424041 is a `hidden beast` number, since 1 + 310 + 1 + 3 + 342 + 4 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 1310133424041 - 2²³ = 1310125035433 is a prime.

It is a super-3 number, since 3×1310133424041³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1310133423996 and 1310133424014.

It is not an unprimeable number, because it can be changed into a prime (1310133424021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4484460 + ... + 4767666.

It is an arithmetic number, because the mean of its divisors is an integer number (44714295080).

Almost surely, 2^{1310133424041} is an apocalyptic number.

It is an amenable number.

1310133424041 is a deficient number, since it is larger than the sum of its proper divisors (836152739799).

1310133424041 is a wasteful number, since it uses less digits than its factorization.

1310133424041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285326 (or 285323 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1310133424041 its reverse (1404243310131), we get a palindrome (2714376734172).

The spelling of 1310133424041 in words is "one trillion, three hundred ten billion, one hundred thirty-three million, four hundred twenty-four thousand, forty-one".