213287205144 has 256 divisors, whose sum is σ = 625218048000. Its totient is φ = 60045649920.

The previous prime is 213287205137. The next prime is 213287205193. The reversal of 213287205144 is 441502782312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 130290694 + ... + 130292330.

It is an arithmetic number, because the mean of its divisors is an integer number (2442258000).

Almost surely, 2^213287205144 is an apocalyptic number.

213287205144 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 213287205144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312609024000).

213287205144 is an abundant number, since it is smaller than the sum of its proper divisors (411930842856).

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

213287205144 is a wasteful number, since it uses less digits than its factorization.

213287205144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

Adding to 213287205144 its reverse (441502782312), we get a palindrome (654789987456).

The spelling of 213287205144 in words is "two hundred thirteen billion, two hundred eighty-seven million, two hundred five thousand, one hundred forty-four".