13305205140 has 48 divisors (see below), whose sum is σ = 38874342528. Its totient is φ = 3393791104.

The previous prime is 13305205103. The next prime is 13305205141. The reversal of 13305205140 is 4150250331.

It is a super-3 number, since 3×13305205140³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13305205140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13305205141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4819347 + ... + 4822106.

It is an arithmetic number, because the mean of its divisors is an integer number (809882136).

Almost surely, 2^13305205140 is an apocalyptic number.

13305205140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13305205140 is an abundant number, since it is smaller than the sum of its proper divisors (25569137388).

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

13305205140 is a wasteful number, since it uses less digits than its factorization.

13305205140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9641488 (or 9641486 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 13305205140 its reverse (4150250331), we get a palindrome (17455455471).

The spelling of 13305205140 in words is "thirteen billion, three hundred five million, two hundred five thousand, one hundred forty".