213141334240 has 192 divisors, whose sum is σ = 536847575040. Its totient is φ = 79738214400.

The previous prime is 213141334223. The next prime is 213141334247. The reversal of 213141334240 is 42433141312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213141334199 and 213141334208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213141334247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136017937 + ... + 136019503.

It is an arithmetic number, because the mean of its divisors is an integer number (2796081120).

Almost surely, 2^213141334240 is an apocalyptic number.

213141334240 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 213141334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268423787520).

213141334240 is an abundant number, since it is smaller than the sum of its proper divisors (323706240800).

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

213141334240 is a wasteful number, since it uses less digits than its factorization.

213141334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 213141334240 its reverse (42433141312), we get a palindrome (255574475552).

The spelling of 213141334240 in words is "two hundred thirteen billion, one hundred forty-one million, three hundred thirty-four thousand, two hundred forty".