13105340312240 has 640 divisors, whose sum is σ = 36496048103424. Its totient is φ = 4327538688000.

The previous prime is 13105340312209. The next prime is 13105340312291. The reversal of 13105340312240 is 4221304350131.

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, 7527477770 + ... + 7527479510.

Almost surely, 2^{13105340312240} is an apocalyptic number.

13105340312240 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 13105340312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18248024051712).

13105340312240 is an abundant number, since it is smaller than the sum of its proper divisors (23390707791184).

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

13105340312240 is a wasteful number, since it uses less digits than its factorization.

13105340312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 13105340312240 its reverse (4221304350131), we get a palindrome (17326644662371).

The spelling of 13105340312240 in words is "thirteen trillion, one hundred five billion, three hundred forty million, three hundred twelve thousand, two hundred forty".