13728627101 has 16 divisors (see below), whose sum is σ = 15852399360. Its totient is φ = 11645596800.

The previous prime is 13728627097. The next prime is 13728627131. The reversal of 13728627101 is 10172682731.

13728627101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13728627101 - 2² = 13728627097 is a prime.

It is a super-3 number, since 3×13728627101³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13728627131) 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 15 ways as a sum of consecutive naturals, for example, 3035720 + ... + 3040238.

It is an arithmetic number, because the mean of its divisors is an integer number (990774960).

Almost surely, 2^13728627101 is an apocalyptic number.

It is an amenable number.

13728627101 is a deficient number, since it is larger than the sum of its proper divisors (2123772259).

13728627101 is a wasteful number, since it uses less digits than its factorization.

13728627101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8924.

The product of its (nonzero) digits is 28224, while the sum is 38.

The spelling of 13728627101 in words is "thirteen billion, seven hundred twenty-eight million, six hundred twenty-seven thousand, one hundred one".