13440504621213 has 6 divisors (see below), whose sum is σ = 19414062230654. Its totient is φ = 8960336414136.

The previous prime is 13440504621209. The next prime is 13440504621217. The reversal of 13440504621213 is 31212640504431.

13440504621213 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 0 + 5 + 0 + 4 + 621 + 21 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (13440504621209) and next prime (13440504621217).

It can be written as a sum of positive squares in only one way, i.e., 8489781720729 + 4950722900484 = 2913723^2 + 2225022^2 .

It is not a de Polignac number, because 13440504621213 - 2² = 13440504621209 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13440504621217) 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, 746694701170 + ... + 746694701187.

Almost surely, 2^{13440504621213} is an apocalyptic number.

It is an amenable number.

13440504621213 is a deficient number, since it is larger than the sum of its proper divisors (5973557609441).

13440504621213 is a wasteful number, since it uses less digits than its factorization.

13440504621213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493389402363 (or 1493389402360 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13440504621213 in words is "thirteen trillion, four hundred forty billion, five hundred four million, six hundred twenty-one thousand, two hundred thirteen".