13513427160 has 256 divisors, whose sum is σ = 44117913600. Its totient is φ = 3298713600.

The previous prime is 13513427159. The next prime is 13513427189. The reversal of 13513427160 is 6172431531.

It is a super-2 number, since 2×13513427160² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11441770 + ... + 11442950.

It is an arithmetic number, because the mean of its divisors is an integer number (172335600).

Almost surely, 2^13513427160 is an apocalyptic number.

13513427160 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 13513427160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22058956800).

13513427160 is an abundant number, since it is smaller than the sum of its proper divisors (30604486440).

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

13513427160 is a wasteful number, since it uses less digits than its factorization.

13513427160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

Adding to 13513427160 its reverse (6172431531), we get a palindrome (19685858691).

The spelling of 13513427160 in words is "thirteen billion, five hundred thirteen million, four hundred twenty-seven thousand, one hundred sixty".