213142240213320 has 256 divisors, whose sum is σ = 698312227092480. Its totient is φ = 51614877081600.

The previous prime is 213142240213237. The next prime is 213142240213327. The reversal of 213142240213320 is 23312042241312.

It is a happy number.

It is a super-2 number, since 2×213142240213320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (213142240213327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14794345557 + ... + 14794359963.

It is an arithmetic number, because the mean of its divisors is an integer number (2727782137080).

Almost surely, 2^{213142240213320} is an apocalyptic number.

213142240213320 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 213142240213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349156113546240).

213142240213320 is an abundant number, since it is smaller than the sum of its proper divisors (485169986879160).

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

213142240213320 is a wasteful number, since it uses less digits than its factorization.

213142240213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25796 (or 25792 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 213142240213320 its reverse (23312042241312), we get a palindrome (236454282454632).

The spelling of 213142240213320 in words is "two hundred thirteen trillion, one hundred forty-two billion, two hundred forty million, two hundred thirteen thousand, three hundred twenty".