213541020 has 432 divisors, whose sum is σ = 860461056. Its totient is φ = 42336000.

The previous prime is 213540991. The next prime is 213541049. The reversal of 213541020 is 20145312.

213541020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213540991) and next prime (213541049).

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 = 213540984 and 213541002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3007585 + ... + 3007655.

It is an arithmetic number, because the mean of its divisors is an integer number (1991808).

Almost surely, 2^213541020 is an apocalyptic number.

213541020 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 213541020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430230528).

213541020 is an abundant number, since it is smaller than the sum of its proper divisors (646920036).

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

213541020 is a wasteful number, since it uses less digits than its factorization.

213541020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 213541020 is about 14613.0428042896. The cubic root of 213541020 is about 597.7144716547.

Adding to 213541020 its reverse (20145312), we get a palindrome (233686332).

The spelling of 213541020 in words is "two hundred thirteen million, five hundred forty-one thousand, twenty".