213042020 has 24 divisors (see below), whose sum is σ = 448143864. Its totient is φ = 85072896.

The previous prime is 213042019. The next prime is 213042047. The reversal of 213042020 is 20240312.

It can be written as a sum of positive squares in 4 ways, for example, as 19998784 + 193043236 = 4472^2 + 13894^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213041986 and 213042004.

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 7 ways as a sum of consecutive naturals, for example, 3572 + ... + 20948.

It is an arithmetic number, because the mean of its divisors is an integer number (18672661).

Almost surely, 2^213042020 is an apocalyptic number.

213042020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213042020 is an abundant number, since it is smaller than the sum of its proper divisors (235101844).

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

213042020 is a wasteful number, since it uses less digits than its factorization.

213042020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17999 (or 17997 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 213042020 is about 14595.9590298137. The cubic root of 213042020 is about 597.2485312834.

Adding to 213042020 its reverse (20240312), we get a palindrome (233282332).

The spelling of 213042020 in words is "two hundred thirteen million, forty-two thousand, twenty".