13303211400000 has 252 divisors, whose sum is σ = 47661022835244. Its totient is φ = 3547522560000.

The previous prime is 13303211399911. The next prime is 13303211400041. The reversal of 13303211400000 is 411230331.

13303211400000 is a `hidden beast` number, since 1 + 330 + 321 + 14 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10558808322624 + 2744403077376 = 3249432^2 + 1656624^2 .

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1895337 + ... + 5495336.

It is an arithmetic number, because the mean of its divisors is an integer number (189131042997).

Almost surely, 2^{13303211400000} is an apocalyptic number.

13303211400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13303211400000 is an abundant number, since it is smaller than the sum of its proper divisors (34357811435244).

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

13303211400000 is an frugal number, since it uses more digits than its factorization.

13303211400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7390716 (or 7390683 counting only the distinct ones).

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

Adding to 13303211400000 its reverse (411230331), we get a palindrome (13303622630331).

The spelling of 13303211400000 in words is "thirteen trillion, three hundred three billion, two hundred eleven million, four hundred thousand".