13132546213304 has 128 divisors (see below), whose sum is σ = 28754625715200. Its totient is φ = 5506782382080.

The previous prime is 13132546213291. The next prime is 13132546213337. The reversal of 13132546213304 is 40331264523131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2662180022 + ... + 2662184954.

It is an arithmetic number, because the mean of its divisors is an integer number (224645513400).

Almost surely, 2^{13132546213304} is an apocalyptic number.

13132546213304 is a gapful number since it is divisible by the number (14) 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 13132546213304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14377312857600).

13132546213304 is an abundant number, since it is smaller than the sum of its proper divisors (15622079501896).

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

13132546213304 is a wasteful number, since it uses less digits than its factorization.

13132546213304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9973 (or 9969 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The spelling of 13132546213304 in words is "thirteen trillion, one hundred thirty-two billion, five hundred forty-six million, two hundred thirteen thousand, three hundred four".