213303020 has 48 divisors (see below), whose sum is σ = 513585408. Its totient is φ = 72895680.

The previous prime is 213303017. The next prime is 213303049. The reversal of 213303020 is 20303312.

It is a super-2 number, since 2×213303020² = 90996356682240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 213302986 and 213303004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44039 + ... + 48641.

It is an arithmetic number, because the mean of its divisors is an integer number (10699696).

Almost surely, 2^213303020 is an apocalyptic number.

213303020 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 213303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256792704).

213303020 is an abundant number, since it is smaller than the sum of its proper divisors (300282388).

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

213303020 is a wasteful number, since it uses less digits than its factorization.

213303020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4950 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 213303020 is about 14604.8971239102. The cubic root of 213303020 is about 597.4923302179.

Adding to 213303020 its reverse (20303312), we get a palindrome (233606332).

The spelling of 213303020 in words is "two hundred thirteen million, three hundred three thousand, twenty".