13130210320000 has 80 divisors (see below), whose sum is σ = 32686838152650. Its totient is φ = 5252084096000.

The previous prime is 13130210319983. The next prime is 13130210320001. The reversal of 13130210320000 is 2301203131.

It can be written as a sum of positive squares in 5 ways, for example, as 2196395136576 + 10933815183424 = 1482024^2 + 3306632^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13130210320001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81983815 + ... + 82143814.

Almost surely, 2^{13130210320000} is an apocalyptic number.

13130210320000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130210320000 is an abundant number, since it is smaller than the sum of its proper divisors (19556627832650).

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

13130210320000 is an frugal number, since it uses more digits than its factorization.

13130210320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164127663 (or 164127636 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13130210320000 its reverse (2301203131), we get a palindrome (13132511523131).

The spelling of 13130210320000 in words is "thirteen trillion, one hundred thirty billion, two hundred ten million, three hundred twenty thousand".