13310411013240 has 512 divisors, whose sum is σ = 46400325120000. Its totient is φ = 3018792960000.

The previous prime is 13310411013233. The next prime is 13310411013253. The reversal of 13310411013240 is 4231011401331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13310411013240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3859207036 + ... + 3859210484.

It is an arithmetic number, because the mean of its divisors is an integer number (90625635000).

Almost surely, 2^{13310411013240} is an apocalyptic number.

13310411013240 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 13310411013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23200162560000).

13310411013240 is an abundant number, since it is smaller than the sum of its proper divisors (33089914106760).

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

13310411013240 is a wasteful number, since it uses less digits than its factorization.

13310411013240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13310411013240 its reverse (4231011401331), we get a palindrome (17541422414571).

The spelling of 13310411013240 in words is "thirteen trillion, three hundred ten billion, four hundred eleven million, thirteen thousand, two hundred forty".