13006114341 has 64 divisors (see below), whose sum is σ = 19774976256. Its totient is φ = 7535001600.

The previous prime is 13006114301. The next prime is 13006114343. The reversal of 13006114341 is 14341160031.

It is not a de Polignac number, because 13006114341 - 2¹³ = 13006106149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13006114343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14829795 + ... + 14830671.

It is an arithmetic number, because the mean of its divisors is an integer number (308984004).

Almost surely, 2^13006114341 is an apocalyptic number.

13006114341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13006114341 is a deficient number, since it is larger than the sum of its proper divisors (6768861915).

13006114341 is a wasteful number, since it uses less digits than its factorization.

13006114341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13006114341 its reverse (14341160031), we get a palindrome (27347274372).

The spelling of 13006114341 in words is "thirteen billion, six million, one hundred fourteen thousand, three hundred forty-one".