13032133321300 has 36 divisors (see below), whose sum is σ = 28279922273820. Its totient is φ = 5212817758720.

The previous prime is 13032133321271. The next prime is 13032133321301. The reversal of 13032133321300 is 312333123031.

It can be written as a sum of positive squares in 6 ways, for example, as 4084748197776 + 8947385123524 = 2021076^2 + 2991218^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032133321301) 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 11 ways as a sum of consecutive naturals, for example, 18154812 + ... + 18858988.

It is an arithmetic number, because the mean of its divisors is an integer number (785553396495).

Almost surely, 2^{13032133321300} is an apocalyptic number.

13032133321300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13032133321300 is an abundant number, since it is smaller than the sum of its proper divisors (15247788952520).

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

13032133321300 is a wasteful number, since it uses less digits than its factorization.

13032133321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889260 (or 889253 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 13032133321300 its reverse (312333123031), we get a palindrome (13344466444331).

The spelling of 13032133321300 in words is "thirteen trillion, thirty-two billion, one hundred thirty-three million, three hundred twenty-one thousand, three hundred".