13023320000013 has 6 divisors (see below), whose sum is σ = 18811462222254. Its totient is φ = 8682213333336.

The previous prime is 13023319999961. The next prime is 13023320000023. The reversal of 13023320000013 is 31000002332031.

13023320000013 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 only one way, i.e., 8879339151684 + 4143980848329 = 2979822^2 + 2035677^2 .

It is not a de Polignac number, because 13023320000013 - 2¹⁴ = 13023319983629 is a prime.

It is a super-3 number, since 3×13023320000013³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023320000023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 723517777770 + ... + 723517777787.

It is an arithmetic number, because the mean of its divisors is an integer number (3135243703709).

Almost surely, 2^{13023320000013} is an apocalyptic number.

It is an amenable number.

13023320000013 is a deficient number, since it is larger than the sum of its proper divisors (5788142222241).

13023320000013 is a wasteful number, since it uses less digits than its factorization.

13023320000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447035555563 (or 1447035555560 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13023320000013 its reverse (31000002332031), we get a palindrome (44023322332044).

The spelling of 13023320000013 in words is "thirteen trillion, twenty-three billion, three hundred twenty million, thirteen", and thus it is an aban number.