13488635291101 has 16 divisors (see below), whose sum is σ = 13855485798000. Its totient is φ = 13123606579200.

The previous prime is 13488635291069. The next prime is 13488635291113. The reversal of 13488635291101 is 10119253688431.

It can be written as a sum of positive squares in 8 ways, for example, as 725350305625 + 12763284985476 = 851675^2 + 3572574^2 .

It is a cyclic number.

It is not a de Polignac number, because 13488635291101 - 2⁵ = 13488635291069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13488635231101) 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, 57719671 + ... + 57952891.

It is an arithmetic number, because the mean of its divisors is an integer number (865967862375).

Almost surely, 2^{13488635291101} is an apocalyptic number.

It is an amenable number.

13488635291101 is a deficient number, since it is larger than the sum of its proper divisors (366850506899).

13488635291101 is a wasteful number, since it uses less digits than its factorization.

13488635291101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237120.

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 13488635291101 in words is "thirteen trillion, four hundred eighty-eight billion, six hundred thirty-five million, two hundred ninety-one thousand, one hundred one".