13121320212000 has 3456 divisors, whose sum is σ = 64652247249408. Its totient is φ = 2445520896000.

The previous prime is 13121320211983. The next prime is 13121320212017. The reversal of 13121320212000 is 21202312131.

13121320212000 is a `hidden beast` number, since 1 + 3 + 121 + 320 + 21 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13121320211983) and next prime (13121320212017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 17333315622 + ... + 17333316378.

It is an arithmetic number, because the mean of its divisors is an integer number (18707247468).

Almost surely, 2^{13121320212000} is an apocalyptic number.

13121320212000 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 13121320212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32326123624704).

13121320212000 is an abundant number, since it is smaller than the sum of its proper divisors (51530927037408).

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

13121320212000 is a wasteful number, since it uses less digits than its factorization.

13121320212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13121320212000 its reverse (21202312131), we get a palindrome (13142522524131).

The spelling of 13121320212000 in words is "thirteen trillion, one hundred twenty-one billion, three hundred twenty million, two hundred twelve thousand".