13302120021300 has 288 divisors, whose sum is σ = 46656146732160. Its totient is φ = 3224433484800.

The previous prime is 13302120021293. The next prime is 13302120021301. The reversal of 13302120021300 is 312002120331.

13302120021300 is a `hidden beast` number, since 1 + 330 + 2 + 1 + 200 + 2 + 130 + 0 = 666.

It is a super-2 number, since 2×13302120021300² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13302120021301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 445871184 + ... + 445901016.

Almost surely, 2^{13302120021300} is an apocalyptic number.

13302120021300 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 13302120021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23328073366080).

13302120021300 is an abundant number, since it is smaller than the sum of its proper divisors (33354026710860).

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

13302120021300 is a wasteful number, since it uses less digits than its factorization.

13302120021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44880 (or 44867 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13302120021300 its reverse (312002120331), we get a palindrome (13614122141631).

The spelling of 13302120021300 in words is "thirteen trillion, three hundred two billion, one hundred twenty million, twenty-one thousand, three hundred".