13531183488001 has 16 divisors (see below), whose sum is σ = 14345062578000. Its totient is φ = 12740718054400.

The previous prime is 13531183487849. The next prime is 13531183488071. The reversal of 13531183488001 is 10088438113531.

It can be written as a sum of positive squares in 8 ways, for example, as 4275594198001 + 9255589290000 = 2067751^2 + 3042300^2 .

It is a cyclic number.

It is not a de Polignac number, because 13531183488001 - 2¹⁵ = 13531183455233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13531183488071) 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 15 ways as a sum of consecutive naturals, for example, 571275 + ... + 5233423.

It is an arithmetic number, because the mean of its divisors is an integer number (896566411125).

Almost surely, 2^{13531183488001} is an apocalyptic number.

It is an amenable number.

13531183488001 is a deficient number, since it is larger than the sum of its proper divisors (813879089999).

13531183488001 is a wasteful number, since it uses less digits than its factorization.

13531183488001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664660.

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 13531183488001 in words is "thirteen trillion, five hundred thirty-one billion, one hundred eighty-three million, four hundred eighty-eight thousand, one".