13013751240 has 288 divisors, whose sum is σ = 49378076280. Its totient is φ = 2963810304.

The previous prime is 13013751221. The next prime is 13013751253. The reversal of 13013751240 is 4215731031.

13013751240 is a `hidden beast` number, since 13 + 0 + 137 + 512 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3932042436 + 9081708804 = 62706^2 + 95298^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5520142 + ... + 5522498.

Almost surely, 2^13013751240 is an apocalyptic number.

13013751240 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 13013751240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24689038140).

13013751240 is an abundant number, since it is smaller than the sum of its proper divisors (36364325040).

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

13013751240 is a wasteful number, since it uses less digits than its factorization.

13013751240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 13013751240 in words is "thirteen billion, thirteen million, seven hundred fifty-one thousand, two hundred forty".