213011020 has 48 divisors (see below), whose sum is σ = 478402848. Its totient is φ = 79385600.

The previous prime is 213011017. The next prime is 213011039. The reversal of 213011020 is 20110312.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 213010988 and 213011006.

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, 31239 + ... + 37441.

It is an arithmetic number, because the mean of its divisors is an integer number (9966726).

Almost surely, 2^213011020 is an apocalyptic number.

213011020 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 213011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239201424).

213011020 is an abundant number, since it is smaller than the sum of its proper divisors (265391828).

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

213011020 is a wasteful number, since it uses less digits than its factorization.

213011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6330 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 213011020 is about 14594.8970534225. The cubic root of 213011020 is about 597.2195610946.

Adding to 213011020 its reverse (20110312), we get a palindrome (233121332).

The spelling of 213011020 in words is "two hundred thirteen million, eleven thousand, twenty".