213000223120 has 80 divisors (see below), whose sum is σ = 514877760000. Its totient is φ = 81848600064.

The previous prime is 213000223103. The next prime is 213000223129. The reversal of 213000223120 is 21322000312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 213000223094 and 213000223103.

It is not an unprimeable number, because it can be changed into a prime (213000223129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231001 + ... + 692359.

It is an arithmetic number, because the mean of its divisors is an integer number (6435972000).

Almost surely, 2^213000223120 is an apocalyptic number.

213000223120 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 213000223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257438880000).

213000223120 is an abundant number, since it is smaller than the sum of its proper divisors (301877536880).

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

213000223120 is a wasteful number, since it uses less digits than its factorization.

213000223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461600 (or 461594 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 213000223120 its reverse (21322000312), we get a palindrome (234322223432).

The spelling of 213000223120 in words is "two hundred thirteen billion, two hundred twenty-three thousand, one hundred twenty".