13303213030200 has 384 divisors, whose sum is σ = 44066179584000. Its totient is φ = 3312600883200.

The previous prime is 13303213030091. The next prime is 13303213030273. The reversal of 13303213030200 is 203031230331.

It is a super-2 number, since 2×13303213030200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 958506861 + ... + 958520739.

It is an arithmetic number, because the mean of its divisors is an integer number (114755676000).

Almost surely, 2^{13303213030200} is an apocalyptic number.

13303213030200 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 13303213030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22033089792000).

13303213030200 is an abundant number, since it is smaller than the sum of its proper divisors (30762966553800).

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

13303213030200 is a wasteful number, since it uses less digits than its factorization.

13303213030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15735 (or 15726 counting only the distinct ones).

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

Adding to 13303213030200 its reverse (203031230331), we get a palindrome (13506244260531).

The spelling of 13303213030200 in words is "thirteen trillion, three hundred three billion, two hundred thirteen million, thirty thousand, two hundred".