213213033000020 has 48 divisors (see below), whose sum is σ = 452790127455120. Its totient is φ = 84324738161664.

The previous prime is 213213033000017. The next prime is 213213033000151. The reversal of 213213033000020 is 20000330312312.

213213033000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 52420438118416 + 160792594881604 = 7240196^2 + 12680402^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 213213032999956 and 213213033000001.

It is a congruent number.

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, 67078142 + ... + 70184778.

It is an arithmetic number, because the mean of its divisors is an integer number (9433127655315).

Almost surely, 2^{213213033000020} is an apocalyptic number.

213213033000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213213033000020 is an abundant number, since it is smaller than the sum of its proper divisors (239577094455100).

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

213213033000020 is a wasteful number, since it uses less digits than its factorization.

213213033000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145292 (or 3145290 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 213213033000020 its reverse (20000330312312), we get a palindrome (233213363312332).

The spelling of 213213033000020 in words is "two hundred thirteen trillion, two hundred thirteen billion, thirty-three million, twenty", and thus it is an aban number.