13306301812240 has 40 divisors (see below), whose sum is σ = 31691716397208. Its totient is φ = 5192703144960.

The previous prime is 13306301812217. The next prime is 13306301812247. The reversal of 13306301812240 is 4221810360331.

It can be written as a sum of positive squares in 4 ways, for example, as 1532921324544 + 11773380487696 = 1238112^2 + 3431236^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13306301812196 and 13306301812205.

It is not an unprimeable number, because it can be changed into a prime (13306301812247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2028396387 + ... + 2028402946.

Almost surely, 2^{13306301812240} is an apocalyptic number.

13306301812240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13306301812240 is an abundant number, since it is smaller than the sum of its proper divisors (18385414584968).

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

13306301812240 is a wasteful number, since it uses less digits than its factorization.

13306301812240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056799387 (or 4056799381 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 13306301812240 in words is "thirteen trillion, three hundred six billion, three hundred one million, eight hundred twelve thousand, two hundred forty".