13220133300 has 648 divisors, whose sum is σ = 49786610328. Its totient is φ = 2919628800.

The previous prime is 13220133299. The next prime is 13220133379. The reversal of 13220133300 is 333102231.

13220133300 is a `hidden beast` number, since 1 + 322 + 0 + 13 + 330 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1115292816 + 12104840484 = 33396^2 + 110022^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 68498004 + ... + 68498196.

Almost surely, 2^13220133300 is an apocalyptic number.

13220133300 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 13220133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24893305164).

13220133300 is an abundant number, since it is smaller than the sum of its proper divisors (36566477028).

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

13220133300 is a wasteful number, since it uses less digits than its factorization.

13220133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13220133300 its reverse (333102231), we get a palindrome (13553235531).

The spelling of 13220133300 in words is "thirteen billion, two hundred twenty million, one hundred thirty-three thousand, three hundred".