14004013211013 has 32 divisors (see below), whose sum is σ = 21372818227200. Its totient is φ = 7989781556736.

The previous prime is 14004013211009. The next prime is 14004013211029. The reversal of 14004013211013 is 31011231040041.

14004013211013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14004013211013 - 2² = 14004013211009 is a prime.

It is a super-3 number, since 3×14004013211013³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004013211113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230606068 + ... + 230666786.

It is an arithmetic number, because the mean of its divisors is an integer number (667900569600).

Almost surely, 2^{14004013211013} is an apocalyptic number.

It is an amenable number.

14004013211013 is a deficient number, since it is larger than the sum of its proper divisors (7368805016187).

14004013211013 is a wasteful number, since it uses less digits than its factorization.

14004013211013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77721.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 14004013211013 its reverse (31011231040041), we get a palindrome (45015244251054).

The spelling of 14004013211013 in words is "fourteen trillion, four billion, thirteen million, two hundred eleven thousand, thirteen".