13330213310313 has 48 divisors (see below), whose sum is σ = 20535604689600. Its totient is φ = 8308605456000.

The previous prime is 13330213310311. The next prime is 13330213310329. The reversal of 13330213310313 is 31301331203331.

13330213310313 is a `hidden beast` number, since 1 + 3 + 3 + 30 + 2 + 1 + 3 + 310 + 313 = 666.

It is not a de Polignac number, because 13330213310313 - 2¹ = 13330213310311 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13330213310311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3253731 + ... + 6103047.

It is an arithmetic number, because the mean of its divisors is an integer number (427825097700).

Almost surely, 2^{13330213310313} is an apocalyptic number.

It is an amenable number.

13330213310313 is a deficient number, since it is larger than the sum of its proper divisors (7205391379287).

13330213310313 is a wasteful number, since it uses less digits than its factorization.

13330213310313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849702 (or 2849699 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 13330213310313 its reverse (31301331203331), we get a palindrome (44631544513644).

The spelling of 13330213310313 in words is "thirteen trillion, three hundred thirty billion, two hundred thirteen million, three hundred ten thousand, three hundred thirteen".