13513730112 has 84 divisors (see below), whose sum is σ = 38811608940. Its totient is φ = 4495629312.

The previous prime is 13513730081. The next prime is 13513730161. The reversal of 13513730112 is 21103731531.

It is a happy number.

13513730112 is a `hidden beast` number, since 1 + 3 + 513 + 7 + 30 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8946133056 + 4567597056 = 94584^2 + 67584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270138 + ... + 316230.

Almost surely, 2^13513730112 is an apocalyptic number.

13513730112 is a gapful number since it is divisible by the number (12) 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 13513730112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19405804470).

13513730112 is an abundant number, since it is smaller than the sum of its proper divisors (25297878828).

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

13513730112 is a wasteful number, since it uses less digits than its factorization.

13513730112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46620 (or 46607 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 13513730112 in words is "thirteen billion, five hundred thirteen million, seven hundred thirty thousand, one hundred twelve".