13412413240213 has 32 divisors (see below), whose sum is σ = 15245018311040. Its totient is φ = 11697741619200.

The previous prime is 13412413240199. The next prime is 13412413240243. The reversal of 13412413240213 is 31204231421431.

It is a happy number.

It is not a de Polignac number, because 13412413240213 - 2²⁵ = 13412379685781 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 (13412413240243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162224581 + ... + 162307237.

It is an arithmetic number, because the mean of its divisors is an integer number (476406822220).

Almost surely, 2^{13412413240213} is an apocalyptic number.

13412413240213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13412413240213 is a deficient number, since it is larger than the sum of its proper divisors (1832605070827).

13412413240213 is a wasteful number, since it uses less digits than its factorization.

13412413240213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84437.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 13412413240213 its reverse (31204231421431), we get a palindrome (44616644661644).

The spelling of 13412413240213 in words is "thirteen trillion, four hundred twelve billion, four hundred thirteen million, two hundred forty thousand, two hundred thirteen".