213123030120 has 640 divisors, whose sum is σ = 961800618240. Its totient is φ = 40878120960.

The previous prime is 213123030083. The next prime is 213123030139. The reversal of 213123030120 is 21030321312.

213123030120 is a `hidden beast` number, since 2 + 1 + 312 + 30 + 301 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213123030093 and 213123030102.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3210384 + ... + 3276096.

It is an arithmetic number, because the mean of its divisors is an integer number (1502813466).

Almost surely, 2^213123030120 is an apocalyptic number.

213123030120 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 213123030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480900309120).

213123030120 is an abundant number, since it is smaller than the sum of its proper divisors (748677588120).

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

213123030120 is a wasteful number, since it uses less digits than its factorization.

213123030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65767 (or 65754 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213123030120 its reverse (21030321312), we get a palindrome (234153351432).

The spelling of 213123030120 in words is "two hundred thirteen billion, one hundred twenty-three million, thirty thousand, one hundred twenty".