13111321140240 has 320 divisors, whose sum is σ = 44917225684992. Its totient is φ = 3146902528000.

The previous prime is 13111321140193. The next prime is 13111321140277. The reversal of 13111321140240 is 4204112311131.

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 13111321140240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 502124785 + ... + 502150895.

Almost surely, 2^{13111321140240} is an apocalyptic number.

13111321140240 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 13111321140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22458612842496).

13111321140240 is an abundant number, since it is smaller than the sum of its proper divisors (31805904544752).

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

13111321140240 is a wasteful number, since it uses less digits than its factorization.

13111321140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31518 (or 31512 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 13111321140240 its reverse (4204112311131), we get a palindrome (17315433451371).

The spelling of 13111321140240 in words is "thirteen trillion, one hundred eleven billion, three hundred twenty-one million, one hundred forty thousand, two hundred forty".