13201320000000 has 1280 divisors, whose sum is σ = 48969605887488. Its totient is φ = 3133440000000.

The previous prime is 13201319999993. The next prime is 13201320000041. The reversal of 13201320000000 is 2310231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96359999932 + ... + 96360000068.

Almost surely, 2^{13201320000000} is an apocalyptic number.

13201320000000 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 13201320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24484802943744).

13201320000000 is an abundant number, since it is smaller than the sum of its proper divisors (35768285887488).

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

13201320000000 is an frugal number, since it uses more digits than its factorization.

13201320000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13201320000000 its reverse (2310231), we get a palindrome (13201322310231).

It can be divided in two parts, 1320 and 1320000000, that multiplied together give a square (1742400000000 = 1320000²).

The spelling of 13201320000000 in words is "thirteen trillion, two hundred one billion, three hundred twenty million", and thus it is an aban number.