210013123320000 has 6720 divisors, whose sum is σ = 1093173412531200. Its totient is φ = 37085921280000.

The previous prime is 210013123319977. The next prime is 210013123320001. The reversal of 210013123320000 is 23321310012.

210013123320000 is a `hidden beast` number, since 2 + 100 + 131 + 233 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

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

It is not an unprimeable number, because it can be changed into a prime (210013123320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 253333079586 + ... + 253333080414.

It is an arithmetic number, because the mean of its divisors is an integer number (162674614960).

Almost surely, 2^{210013123320000} is an apocalyptic number.

210013123320000 is a gapful number since it is divisible by the number (20) 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 210013123320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546586706265600).

210013123320000 is an abundant number, since it is smaller than the sum of its proper divisors (883160289211200).

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

210013123320000 is a wasteful number, since it uses less digits than its factorization.

210013123320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 210013123320000 its reverse (23321310012), we get a palindrome (210036444630012).

The spelling of 210013123320000 in words is "two hundred ten trillion, thirteen billion, one hundred twenty-three million, three hundred twenty thousand".