213102330030144 has 336 divisors, whose sum is σ = 642844917000000. Its totient is φ = 67395665326080.

The previous prime is 213102330030137. The next prime is 213102330030209. The reversal of 213102330030144 is 441030033201312.

It is a happy number.

213102330030144 is a `hidden beast` number, since 2 + 1 + 3 + 10 + 2 + 3 + 300 + 301 + 44 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2583048607 + ... + 2583131105.

Almost surely, 2^{213102330030144} is an apocalyptic number.

213102330030144 is a gapful number since it is divisible by the number (24) 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 213102330030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321422458500000).

213102330030144 is an abundant number, since it is smaller than the sum of its proper divisors (429742586969856).

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

213102330030144 is a wasteful number, since it uses less digits than its factorization.

213102330030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85226 (or 85213 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 213102330030144 its reverse (441030033201312), we get a palindrome (654132363231456).

The spelling of 213102330030144 in words is "two hundred thirteen trillion, one hundred two billion, three hundred thirty million, thirty thousand, one hundred forty-four".