13210013010000 has 400 divisors, whose sum is σ = 44504877130560. Its totient is φ = 3371074560000.

The previous prime is 13210013009959. The next prime is 13210013010001. The reversal of 13210013010000 is 1031001231.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13210013010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98242815 + ... + 98377185.

Almost surely, 2^{13210013010000} is an apocalyptic number.

13210013010000 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 13210013010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22252438565280).

13210013010000 is an abundant number, since it is smaller than the sum of its proper divisors (31294864120560).

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

13210013010000 is a wasteful number, since it uses less digits than its factorization.

13210013010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134544 (or 134523 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13210013010000 its reverse (1031001231), we get a palindrome (13211044011231).

The spelling of 13210013010000 in words is "thirteen trillion, two hundred ten billion, thirteen million, ten thousand".