13123420340205 has 256 divisors, whose sum is σ = 27038256537600. Its totient is φ = 5290924769280.

The previous prime is 13123420340197. The next prime is 13123420340207. The reversal of 13123420340205 is 50204302432131.

It is not a de Polignac number, because 13123420340205 - 2³ = 13123420340197 is a prime.

It is a super-2 number, since 2×13123420340205² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123420340207) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2376997845 + ... + 2377003365.

It is an arithmetic number, because the mean of its divisors is an integer number (105618189600).

Almost surely, 2^{13123420340205} is an apocalyptic number.

13123420340205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13123420340205 is an abundant number, since it is smaller than the sum of its proper divisors (13914836197395).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13123420340205 is a wasteful number, since it uses less digits than its factorization.

13123420340205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6324.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13123420340205 its reverse (50204302432131), we get a palindrome (63327722772336).

The spelling of 13123420340205 in words is "thirteen trillion, one hundred twenty-three billion, four hundred twenty million, three hundred forty thousand, two hundred five".