13300333300320 has 576 divisors, whose sum is σ = 46714785808320. Its totient is φ = 3178137600000.

The previous prime is 13300333300273. The next prime is 13300333300367. The reversal of 13300333300320 is 2300333300331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13300333300273) and next prime (13300333300367).

It is a super-2 number, since 2×13300333300320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1343327370 + ... + 1343337270.

It is an arithmetic number, because the mean of its divisors is an integer number (81102058695).

Almost surely, 2^{13300333300320} is an apocalyptic number.

13300333300320 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 13300333300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23357392904160).

13300333300320 is an abundant number, since it is smaller than the sum of its proper divisors (33414452508000).

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

13300333300320 is a wasteful number, since it uses less digits than its factorization.

13300333300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10271 (or 10252 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 24.

Adding to 13300333300320 its reverse (2300333300331), we get a palindrome (15600666600651).

The spelling of 13300333300320 in words is "thirteen trillion, three hundred billion, three hundred thirty-three million, three hundred thousand, three hundred twenty".