13220312000000 has 280 divisors, whose sum is σ = 37735109796912. Its totient is φ = 4532659200000.

The previous prime is 13220311999981. The next prime is 13220312000009. The reversal of 13220312000000 is 21302231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220312000009) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 55881962 + ... + 56118038.

Almost surely, 2^{13220312000000} is an apocalyptic number.

13220312000000 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 13220312000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18867554898456).

13220312000000 is an abundant number, since it is smaller than the sum of its proper divisors (24514797796912).

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

13220312000000 is an frugal number, since it uses more digits than its factorization.

13220312000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236132 (or 236091 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13220312000000 its reverse (21302231), we get a palindrome (13220333302231).

The spelling of 13220312000000 in words is "thirteen trillion, two hundred twenty billion, three hundred twelve million", and thus it is an aban number.