13011300240 has 80 divisors (see below), whose sum is σ = 40406342400. Its totient is φ = 3463545856.

The previous prime is 13011300229. The next prime is 13011300257. The reversal of 13011300240 is 4200311031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88921 + ... + 184199.

It is an arithmetic number, because the mean of its divisors is an integer number (505079280).

Almost surely, 2^13011300240 is an apocalyptic number.

13011300240 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 13011300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20203171200).

13011300240 is an abundant number, since it is smaller than the sum of its proper divisors (27395042160).

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

13011300240 is a wasteful number, since it uses less digits than its factorization.

13011300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95864 (or 95858 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13011300240 its reverse (4200311031), we get a palindrome (17211611271).

The spelling of 13011300240 in words is "thirteen billion, eleven million, three hundred thousand, two hundred forty".