13513615140 has 96 divisors (see below), whose sum is σ = 38483875584. Its totient is φ = 3542630400.

The previous prime is 13513615123. The next prime is 13513615243. The reversal of 13513615140 is 4151631531.

13513615140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13513615098 and 13513615107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 871132 + ... + 886508.

It is an arithmetic number, because the mean of its divisors is an integer number (400873704).

Almost surely, 2^13513615140 is an apocalyptic number.

13513615140 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 13513615140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19241937792).

13513615140 is an abundant number, since it is smaller than the sum of its proper divisors (24970260444).

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

13513615140 is a wasteful number, since it uses less digits than its factorization.

13513615140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15637 (or 15635 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 13513615140 in words is "thirteen billion, five hundred thirteen million, six hundred fifteen thousand, one hundred forty".