13330213123313 has 16 divisors (see below), whose sum is σ = 13524322775040. Its totient is φ = 13137564576336.

The previous prime is 13330213123303. The next prime is 13330213123319. The reversal of 13330213123313 is 31332131203331.

It is a cyclic number.

It is not a de Polignac number, because 13330213123313 - 2²⁴ = 13330196346097 is a prime.

It is a super-2 number, since 2×13330213123313² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13330213123319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15890720 + ... + 16708542.

It is an arithmetic number, because the mean of its divisors is an integer number (845270173440).

Almost surely, 2^{13330213123313} is an apocalyptic number.

It is an amenable number.

13330213123313 is a deficient number, since it is larger than the sum of its proper divisors (194109651727).

13330213123313 is a wasteful number, since it uses less digits than its factorization.

13330213123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818716.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 13330213123313 its reverse (31332131203331), we get a palindrome (44662344326644).

The spelling of 13330213123313 in words is "thirteen trillion, three hundred thirty billion, two hundred thirteen million, one hundred twenty-three thousand, three hundred thirteen".