213010343130144 has 192 divisors, whose sum is σ = 678116939028480. Its totient is φ = 57227328491520.

The previous prime is 213010343130089. The next prime is 213010343130157. The reversal of 213010343130144 is 441031343010312.

213010343130144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115882377 + ... + 117706184.

It is an arithmetic number, because the mean of its divisors is an integer number (3531859057440).

Almost surely, 2^{213010343130144} is an apocalyptic number.

213010343130144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213010343130144 is an abundant number, since it is smaller than the sum of its proper divisors (465106595898336).

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

213010343130144 is a wasteful number, since it uses less digits than its factorization.

213010343130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233588663 (or 233588655 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 213010343130144 its reverse (441031343010312), we get a palindrome (654041686140456).

The spelling of 213010343130144 in words is "two hundred thirteen trillion, ten billion, three hundred forty-three million, one hundred thirty thousand, one hundred forty-four".