13213230330013 has 12 divisors (see below), whose sum is σ = 15376420259580. Its totient is φ = 11321258118912.

The previous prime is 13213230329989. The next prime is 13213230330017. The reversal of 13213230330013 is 31003303231231.

It can be written as a sum of positive squares in 2 ways, for example, as 2719537406404 + 10493692923609 = 1649102^2 + 3239397^2 .

It is not a de Polignac number, because 13213230330013 - 2²¹ = 13213228232861 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13213230330013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213230330017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51870198 + ... + 52124311.

It is an arithmetic number, because the mean of its divisors is an integer number (1281368354965).

Almost surely, 2^{13213230330013} is an apocalyptic number.

It is an amenable number.

13213230330013 is a deficient number, since it is larger than the sum of its proper divisors (2163189929567).

13213230330013 is a wasteful number, since it uses less digits than its factorization.

13213230330013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103997116 (or 103997109 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 13213230330013 its reverse (31003303231231), we get a palindrome (44216533561244).

The spelling of 13213230330013 in words is "thirteen trillion, two hundred thirteen billion, two hundred thirty million, three hundred thirty thousand, thirteen".