13301444201441 has 48 divisors (see below), whose sum is σ = 14833810530000. Its totient is φ = 11917086720000.

The previous prime is 13301444201431. The next prime is 13301444201453. The reversal of 13301444201441 is 14410244410331.

It can be written as a sum of positive squares in 8 ways, for example, as 379727088400 + 12921717113041 = 616220^2 + 3594679^2 .

It is not a de Polignac number, because 13301444201441 - 2¹⁸ = 13301443939297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13301444201398 and 13301444201407.

It is not an unprimeable number, because it can be changed into a prime (13301444201401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4838646935 + ... + 4838649683.

It is an arithmetic number, because the mean of its divisors is an integer number (309037719375).

Almost surely, 2^{13301444201441} is an apocalyptic number.

13301444201441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13301444201441 is a deficient number, since it is larger than the sum of its proper divisors (1532366328559).

13301444201441 is a wasteful number, since it uses less digits than its factorization.

13301444201441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4562 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 13301444201441 its reverse (14410244410331), we get a palindrome (27711688611772).

The spelling of 13301444201441 in words is "thirteen trillion, three hundred one billion, four hundred forty-four million, two hundred one thousand, four hundred forty-one".