13531034020240 has 240 divisors, whose sum is σ = 35179362595440. Its totient is φ = 4835189145600.

The previous prime is 13531034020223. The next prime is 13531034020247. The reversal of 13531034020240 is 4202043013531.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4685025618064 + 8846008402176 = 2164492^2 + 2974224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13531034020199 and 13531034020208.

It is not an unprimeable number, because it can be changed into a prime (13531034020247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 666641772 + ... + 666662068.

It is an arithmetic number, because the mean of its divisors is an integer number (146580677481).

Almost surely, 2^{13531034020240} is an apocalyptic number.

13531034020240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13531034020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17589681297720).

13531034020240 is an abundant number, since it is smaller than the sum of its proper divisors (21648328575200).

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

13531034020240 is a wasteful number, since it uses less digits than its factorization.

13531034020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21522 (or 21505 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 13531034020240 its reverse (4202043013531), we get a palindrome (17733077033771).

The spelling of 13531034020240 in words is "thirteen trillion, five hundred thirty-one billion, thirty-four million, twenty thousand, two hundred forty".