213021030144 has 288 divisors, whose sum is σ = 654697451520. Its totient is φ = 60904636416.

The previous prime is 213021030083. The next prime is 213021030151. The reversal of 213021030144 is 441030120312.

It is a super-2 number, since 2×213021030144² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213021030144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13400569 + ... + 13416455.

It is an arithmetic number, because the mean of its divisors is an integer number (2273255040).

Almost surely, 2^213021030144 is an apocalyptic number.

213021030144 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 213021030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327348725760).

213021030144 is an abundant number, since it is smaller than the sum of its proper divisors (441676421376).

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

213021030144 is a wasteful number, since it uses less digits than its factorization.

213021030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16015 (or 16001 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 213021030144 its reverse (441030120312), we get a palindrome (654051150456).

The spelling of 213021030144 in words is "two hundred thirteen billion, twenty-one million, thirty thousand, one hundred forty-four".