213302022000 has 80 divisors (see below), whose sum is σ = 687685738272. Its totient is φ = 56880537600.

The previous prime is 213302021993. The next prime is 213302022013. The reversal of 213302022000 is 220203312.

213302022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17769169 + ... + 17781168.

Almost surely, 2^213302022000 is an apocalyptic number.

213302022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213302022000 is an abundant number, since it is smaller than the sum of its proper divisors (474383716272).

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

213302022000 is a wasteful number, since it uses less digits than its factorization.

213302022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35550363 (or 35550347 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 213302022000 its reverse (220203312), we get a palindrome (213522225312).

The spelling of 213302022000 in words is "two hundred thirteen billion, three hundred two million, twenty-two thousand".