13013000213333 has 8 divisors (see below), whose sum is σ = 13578823985856. Its totient is φ = 12447179870400.

The previous prime is 13013000213267. The next prime is 13013000213341. The reversal of 13013000213333 is 33331200031031.

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 13013000213333 - 2²⁰ = 13012999164757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13013000213299 and 13013000213308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013000293333) 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 7 ways as a sum of consecutive naturals, for example, 9621053 + ... + 10889933.

It is an arithmetic number, because the mean of its divisors is an integer number (1697352998232).

Almost surely, 2^{13013000213333} is an apocalyptic number.

It is an amenable number.

13013000213333 is a deficient number, since it is larger than the sum of its proper divisors (565823772523).

13013000213333 is a wasteful number, since it uses less digits than its factorization.

13013000213333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714795.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 13013000213333 its reverse (33331200031031), we get a palindrome (46344200244364).

The spelling of 13013000213333 in words is "thirteen trillion, thirteen billion, two hundred thirteen thousand, three hundred thirty-three".