13323332313313 has 8 divisors (see below), whose sum is σ = 14623713327456. Its totient is φ = 12037812796800.

The previous prime is 13323332313293. The next prime is 13323332313331. The reversal of 13323332313313 is 31331323332331.

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 13323332313313 - 2¹⁷ = 13323332182241 is a prime.

It is a super-3 number, since 3×13323332313313³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13323332313113) 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, 3715372528 + ... + 3715376113.

It is an arithmetic number, because the mean of its divisors is an integer number (1827964165932).

Almost surely, 2^{13323332313313} is an apocalyptic number.

It is an amenable number.

13323332313313 is a deficient number, since it is larger than the sum of its proper divisors (1300381014143).

13323332313313 is a wasteful number, since it uses less digits than its factorization.

13323332313313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7430748815.

The product of its digits is 78732, while the sum is 34.

Adding to 13323332313313 its reverse (31331323332331), we get a palindrome (44654655645644).

The spelling of 13323332313313 in words is "thirteen trillion, three hundred twenty-three billion, three hundred thirty-two million, three hundred thirteen thousand, three hundred thirteen".