13310420312213 has 8 divisors (see below), whose sum is σ = 13324694790456. Its totient is φ = 13296149092800.

The previous prime is 13310420312201. The next prime is 13310420312263. The reversal of 13310420312213 is 31221302401331.

It is a happy number.

13310420312213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 110328936964 + 13200091375249 = 332158^2 + 3633193^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13310420312213 - 2⁸ = 13310420311957 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 (13310420312263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7402895 + ... + 9023507.

It is an arithmetic number, because the mean of its divisors is an integer number (1665586848807).

Almost surely, 2^{13310420312213} is an apocalyptic number.

It is an amenable number.

13310420312213 is a deficient number, since it is larger than the sum of its proper divisors (14274478243).

13310420312213 is a wasteful number, since it uses less digits than its factorization.

13310420312213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629415.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 13310420312213 its reverse (31221302401331), we get a palindrome (44531722713544).

The spelling of 13310420312213 in words is "thirteen trillion, three hundred ten billion, four hundred twenty million, three hundred twelve thousand, two hundred thirteen".