13004014321141 has 16 divisors (see below), whose sum is σ = 13149758357568. Its totient is φ = 12858614496000.

The previous prime is 13004014321139. The next prime is 13004014321169. The reversal of 13004014321141 is 14112341040031.

It is a cyclic number.

It is not a de Polignac number, because 13004014321141 - 2¹ = 13004014321139 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004014331141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249662221 + ... + 249714301.

It is an arithmetic number, because the mean of its divisors is an integer number (821859897348).

Almost surely, 2^{13004014321141} is an apocalyptic number.

It is an amenable number.

13004014321141 is a deficient number, since it is larger than the sum of its proper divisors (145744036427).

13004014321141 is a wasteful number, since it uses less digits than its factorization.

13004014321141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55332.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 13004014321141 its reverse (14112341040031), we get a palindrome (27116355361172).

The spelling of 13004014321141 in words is "thirteen trillion, four billion, fourteen million, three hundred twenty-one thousand, one hundred forty-one".