213112020 has 192 divisors, whose sum is σ = 690923520. Its totient is φ = 48576000.

The previous prime is 213112019. The next prime is 213112027. The reversal of 213112020 is 20211312.

213112020 is digitally balanced in base 3, because in such base 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 213111987 and 213112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213112027) 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, 1533111 + ... + 1533249.

It is an arithmetic number, because the mean of its divisors is an integer number (3598560).

Almost surely, 2^213112020 is an apocalyptic number.

213112020 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 213112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345461760).

213112020 is an abundant number, since it is smaller than the sum of its proper divisors (477811500).

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

213112020 is a wasteful number, since it uses less digits than its factorization.

213112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 213112020 is about 14598.3567568408. The cubic root of 213112020 is about 597.3139375024.

Adding to 213112020 its reverse (20211312), we get a palindrome (233323332).

The spelling of 213112020 in words is "two hundred thirteen million, one hundred twelve thousand, twenty".