13205132310 has 128 divisors (see below), whose sum is σ = 33952296960. Its totient is φ = 3279628800.

The previous prime is 13205132293. The next prime is 13205132333. The reversal of 13205132310 is 1323150231.

It is a super-2 number, since 2×13205132310² (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, 11353789 + ... + 11354951.

It is an arithmetic number, because the mean of its divisors is an integer number (265252320).

Almost surely, 2^13205132310 is an apocalyptic number.

13205132310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13205132310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16976148480).

13205132310 is an abundant number, since it is smaller than the sum of its proper divisors (20747164650).

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

13205132310 is a wasteful number, since it uses less digits than its factorization.

13205132310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654.

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 13205132310 its reverse (1323150231), we get a palindrome (14528282541).

The spelling of 13205132310 in words is "thirteen billion, two hundred five million, one hundred thirty-two thousand, three hundred ten".