13301114213440 has 56 divisors (see below), whose sum is σ = 32445797233752. Its totient is φ = 5190678712320.

The previous prime is 13301114213437. The next prime is 13301114213459. The reversal of 13301114213440 is 4431241110331.

It can be written as a sum of positive squares in 4 ways, for example, as 1135026021376 + 12166088192064 = 1065376^2 + 3487992^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13301114213399 and 13301114213408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 506889099 + ... + 506915338.

It is an arithmetic number, because the mean of its divisors is an integer number (579389236317).

Almost surely, 2^{13301114213440} is an apocalyptic number.

13301114213440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13301114213440 is an abundant number, since it is smaller than the sum of its proper divisors (19144683020312).

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

13301114213440 is a wasteful number, since it uses less digits than its factorization.

13301114213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013804495 (or 1013804485 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 13301114213440 its reverse (4431241110331), we get a palindrome (17732355323771).

The spelling of 13301114213440 in words is "thirteen trillion, three hundred one billion, one hundred fourteen million, two hundred thirteen thousand, four hundred forty".