13009323640336 has 45 divisors (see below), whose sum is σ = 25343590049869. Its totient is φ = 6469235398400.

The previous prime is 13009323640309. The next prime is 13009323640343. The reversal of 13009323640336 is 63304632390031.

It is a happy number.

The square root of 13009323640336 is 3606844.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7032276600336 + 5977047040000 = 2651844^2 + 2444800^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13009323640292 and 13009323640301.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2755626456 + ... + 2755631176.

Almost surely, 2^{13009323640336} is an apocalyptic number.

13009323640336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13009323640336 is the 3606844-th square number.

It is an amenable number.

13009323640336 is a deficient number, since it is larger than the sum of its proper divisors (12334266409533).

13009323640336 is an frugal number, since it uses more digits than its factorization.

13009323640336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9832 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 43.

The spelling of 13009323640336 in words is "thirteen trillion, nine billion, three hundred twenty-three million, six hundred forty thousand, three hundred thirty-six".