213213220040 has 128 divisors (see below), whose sum is σ = 521861356800. Its totient is φ = 78081515520.

The previous prime is 213213220039. The next prime is 213213220049. The reversal of 213213220040 is 40022312312.

213213220040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 213213219994 and 213213220021.

It is not an unprimeable number, because it can be changed into a prime (213213220049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9663341 + ... + 9685379.

It is an arithmetic number, because the mean of its divisors is an integer number (4077041850).

Almost surely, 2^213213220040 is an apocalyptic number.

213213220040 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 213213220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260930678400).

213213220040 is an abundant number, since it is smaller than the sum of its proper divisors (308648136760).

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

213213220040 is a wasteful number, since it uses less digits than its factorization.

213213220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22455 (or 22451 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 213213220040 its reverse (40022312312), we get a palindrome (253235532352).

The spelling of 213213220040 in words is "two hundred thirteen billion, two hundred thirteen million, two hundred twenty thousand, forty".