21213321001312 has 48 divisors (see below), whose sum is σ = 45866202858000. Its totient is φ = 9577704394240.

The previous prime is 21213321001289. The next prime is 21213321001333. The reversal of 21213321001312 is 21310012331212.

It is a super-3 number, since 3×21213321001312³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202179487 + ... + 202284382.

It is an arithmetic number, because the mean of its divisors is an integer number (955545892875).

Almost surely, 2^{21213321001312} is an apocalyptic number.

21213321001312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21213321001312 is an abundant number, since it is smaller than the sum of its proper divisors (24652881856688).

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

21213321001312 is a wasteful number, since it uses less digits than its factorization.

21213321001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404464039 (or 404464031 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 21213321001312 its reverse (21310012331212), we get a palindrome (42523333332524).

The spelling of 21213321001312 in words is "twenty-one trillion, two hundred thirteen billion, three hundred twenty-one million, one thousand, three hundred twelve".