13032200133300 has 288 divisors, whose sum is σ = 40205178703872. Its totient is φ = 3251637931520.

The previous prime is 13032200133283. The next prime is 13032200133307. The reversal of 13032200133300 is 333100223031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032200133307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 647617039 + ... + 647637161.

It is an arithmetic number, because the mean of its divisors is an integer number (139601314944).

Almost surely, 2^{13032200133300} is an apocalyptic number.

13032200133300 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 13032200133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20102589351936).

13032200133300 is an abundant number, since it is smaller than the sum of its proper divisors (27172978570572).

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

13032200133300 is a wasteful number, since it uses less digits than its factorization.

13032200133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22207 (or 22200 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13032200133300 its reverse (333100223031), we get a palindrome (13365300356331).

The spelling of 13032200133300 in words is "thirteen trillion, thirty-two billion, two hundred million, one hundred thirty-three thousand, three hundred".