213120020 has 12 divisors (see below), whose sum is σ = 447552084. Its totient is φ = 85248000.

The previous prime is 213119993. The next prime is 213120029. The reversal of 213120020 is 20021312.

It is a happy number.

213120020 is digitally balanced in base 2, base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 132802576 + 80317444 = 11524^2 + 8962^2 .

213120020 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 213119983 and 213120010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213120029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5327981 + ... + 5328020.

It is an arithmetic number, because the mean of its divisors is an integer number (37296007).

Almost surely, 2^213120020 is an apocalyptic number.

213120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213120020 is an abundant number, since it is smaller than the sum of its proper divisors (234432064).

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

213120020 is a wasteful number, since it uses less digits than its factorization.

213120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10656010 (or 10656008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 213120020 is about 14598.6307577115. The cubic root of 213120020 is about 597.3214115869.

Adding to 213120020 its reverse (20021312), we get a palindrome (233141332).

The spelling of 213120020 in words is "two hundred thirteen million, one hundred twenty thousand, twenty".