13315334140 has 96 divisors (see below), whose sum is σ = 29796076800. Its totient is φ = 4984128000.

The previous prime is 13315334129. The next prime is 13315334141. The reversal of 13315334140 is 4143351331.

It is a junction number, because it is equal to n+sod(n) for n = 13315334099 and 13315334108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13315334141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13066551 + ... + 13067569.

It is an arithmetic number, because the mean of its divisors is an integer number (310375800).

Almost surely, 2^13315334140 is an apocalyptic number.

13315334140 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 13315334140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14898038400).

13315334140 is an abundant number, since it is smaller than the sum of its proper divisors (16480742660).

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

13315334140 is a wasteful number, since it uses less digits than its factorization.

13315334140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 13315334140 its reverse (4143351331), we get a palindrome (17458685471).

The spelling of 13315334140 in words is "thirteen billion, three hundred fifteen million, three hundred thirty-four thousand, one hundred forty".