213122242202300 has 36 divisors (see below), whose sum is σ = 462656557887216. Its totient is φ = 85215478944000.

The previous prime is 213122242202263. The next prime is 213122242202383. The reversal of 213122242202300 is 3202242221312.

It is a super-3 number, since 3×213122242202300³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213122242202300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 417467837 + ... + 417978036.

Almost surely, 2^{213122242202300} is an apocalyptic number.

213122242202300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213122242202300 is an abundant number, since it is smaller than the sum of its proper divisors (249534315684916).

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

213122242202300 is a wasteful number, since it uses less digits than its factorization.

213122242202300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835448438 (or 835448431 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 213122242202300 its reverse (3202242221312), we get a palindrome (216324484423612).

The spelling of 213122242202300 in words is "two hundred thirteen trillion, one hundred twenty-two billion, two hundred forty-two million, two hundred two thousand, three hundred".