213321021012 has 432 divisors, whose sum is σ = 637441721280. Its totient is φ = 61893849600.

The previous prime is 213321021007. The next prime is 213321021013. The reversal of 213321021012 is 210120123312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213321021013) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 793014814 + ... + 793015082.

It is an arithmetic number, because the mean of its divisors is an integer number (1475559540).

Almost surely, 2^213321021012 is an apocalyptic number.

213321021012 is a gapful number since it is divisible by the number (22) 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 213321021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318720860640).

213321021012 is an abundant number, since it is smaller than the sum of its proper divisors (424120700268).

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

213321021012 is a wasteful number, since it uses less digits than its factorization.

213321021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213321021012 its reverse (210120123312), we get a palindrome (423441144324).

The spelling of 213321021012 in words is "two hundred thirteen billion, three hundred twenty-one million, twenty-one thousand, twelve".