213120201330144 has 144 divisors (see below), whose sum is σ = 606844191189600. Its totient is φ = 70948231630848.

The previous prime is 213120201330143. The next prime is 213120201330167. The reversal of 213120201330144 is 441033102021312.

213120201330144 is a `hidden beast` number, since 2 + 1 + 3 + 120 + 201 + 330 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×213120201330144² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213120201330143) 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 23 ways as a sum of consecutive naturals, for example, 2743209252 + ... + 2743286940.

It is an arithmetic number, because the mean of its divisors is an integer number (4214195772150).

Almost surely, 2^{213120201330144} is an apocalyptic number.

213120201330144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213120201330144 is an abundant number, since it is smaller than the sum of its proper divisors (393723989859456).

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

213120201330144 is a wasteful number, since it uses less digits than its factorization.

213120201330144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89897 (or 89886 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 213120201330144 its reverse (441033102021312), we get a palindrome (654153303351456).

The spelling of 213120201330144 in words is "two hundred thirteen trillion, one hundred twenty billion, two hundred one million, three hundred thirty thousand, one hundred forty-four".