213221241024 has 112 divisors (see below), whose sum is σ = 615738184320. Its totient is φ = 64580567040.

The previous prime is 213221241017. The next prime is 213221241067. The reversal of 213221241024 is 420142122312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 213221240985 and 213221241003.

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, 4438767 + ... + 4486545.

It is an arithmetic number, because the mean of its divisors is an integer number (5497662360).

Almost surely, 2^213221241024 is an apocalyptic number.

213221241024 is a gapful number since it is divisible by the number (24) 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 213221241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307869092160).

213221241024 is an abundant number, since it is smaller than the sum of its proper divisors (402516943296).

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

213221241024 is a wasteful number, since it uses less digits than its factorization.

213221241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49918 (or 49908 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 213221241024 its reverse (420142122312), we get a palindrome (633363363336).

The spelling of 213221241024 in words is "two hundred thirteen billion, two hundred twenty-one million, two hundred forty-one thousand, twenty-four".