13013240240 has 640 divisors, whose sum is σ = 43917189120. Its totient is φ = 3479224320.

The previous prime is 13013240237. The next prime is 13013240297. The reversal of 13013240240 is 4204231031.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 164724521 + ... + 164724599.

It is an arithmetic number, because the mean of its divisors is an integer number (68620608).

Almost surely, 2^13013240240 is an apocalyptic number.

13013240240 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 13013240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21958594560).

13013240240 is an abundant number, since it is smaller than the sum of its proper divisors (30903948880).

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

13013240240 is a wasteful number, since it uses less digits than its factorization.

13013240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13013240240 its reverse (4204231031), we get a palindrome (17217471271).

The spelling of 13013240240 in words is "thirteen billion, thirteen million, two hundred forty thousand, two hundred forty".