213001223220 has 144 divisors (see below), whose sum is σ = 649830701520. Its totient is φ = 56473417728.

The previous prime is 213001223213. The next prime is 213001223261. The reversal of 213001223220 is 22322100312.

213001223220 is a `hidden beast` number, since 21 + 300 + 1 + 22 + 322 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1642194576 + 211359028644 = 40524^2 + 459738^2 .

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 = 213001223193 and 213001223202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31745226 + ... + 31751934.

It is an arithmetic number, because the mean of its divisors is an integer number (4512713205).

Almost surely, 2^213001223220 is an apocalyptic number.

213001223220 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 213001223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324915350760).

213001223220 is an abundant number, since it is smaller than the sum of its proper divisors (436829478300).

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

213001223220 is a wasteful number, since it uses less digits than its factorization.

213001223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7714 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213001223220 its reverse (22322100312), we get a palindrome (235323323532).

The spelling of 213001223220 in words is "two hundred thirteen billion, one million, two hundred twenty-three thousand, two hundred twenty".