13311313200000 has 1920 divisors, whose sum is σ = 52990070918400. Its totient is φ = 3309465600000.

The previous prime is 13311313199999. The next prime is 13311313200007. The reversal of 13311313200000 is 231311331.

It is a happy number.

13311313200000 is a `hidden beast` number, since 1 + 3 + 311 + 31 + 320 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (13311313200007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 29127599772 + ... + 29127600228.

It is an arithmetic number, because the mean of its divisors is an integer number (27598995270).

Almost surely, 2^{13311313200000} is an apocalyptic number.

13311313200000 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 13311313200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26495035459200).

13311313200000 is an abundant number, since it is smaller than the sum of its proper divisors (39678757718400).

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

13311313200000 is an frugal number, since it uses more digits than its factorization.

13311313200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13311313200000 its reverse (231311331), we get a palindrome (13311544511331).

The spelling of 13311313200000 in words is "thirteen trillion, three hundred eleven billion, three hundred thirteen million, two hundred thousand".