13000013323344 has 30 divisors (see below), whose sum is σ = 36381981731706. Its totient is φ = 4333337774400.

The previous prime is 13000013323321. The next prime is 13000013323361. The reversal of 13000013323344 is 44332331000031.

13000013323344 is a `hidden beast` number, since 1 + 300 + 0 + 0 + 1 + 3 + 323 + 34 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10583232163344 + 2416781160000 = 3253188^2 + 1554600^2 .

It is a super-2 number, since 2×13000013323344² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45138935007 + ... + 45138935294.

Almost surely, 2^{13000013323344} is an apocalyptic number.

It is an amenable number.

13000013323344 is an abundant number, since it is smaller than the sum of its proper divisors (23381968408362).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13000013323344 is a wasteful number, since it uses less digits than its factorization.

13000013323344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90277870315 (or 90277870306 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13000013323344 its reverse (44332331000031), we get a palindrome (57332344323375).

The spelling of 13000013323344 in words is "thirteen trillion, thirteen million, three hundred twenty-three thousand, three hundred forty-four".