213121203333300 has 54 divisors (see below), whose sum is σ = 668016571784198. Its totient is φ = 56832320888640.

The previous prime is 213121203333293. The next prime is 213121203333301. The reversal of 213121203333300 is 3333302121312.

213121203333300 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 2 + 1 + 20 + 3 + 333 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 49397816176164 + 163723387157136 = 7028358^2 + 12795444^2 .

It is a super-3 number, since 3×213121203333300³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213121203333301) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 118400667619 + ... + 118400669418.

Almost surely, 2^{213121203333300} is an apocalyptic number.

213121203333300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213121203333300 is an abundant number, since it is smaller than the sum of its proper divisors (454895368450898).

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

213121203333300 is a wasteful number, since it uses less digits than its factorization.

213121203333300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236801337057 (or 236801337047 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 213121203333300 its reverse (3333302121312), we get a palindrome (216454505454612).

The spelling of 213121203333300 in words is "two hundred thirteen trillion, one hundred twenty-one billion, two hundred three million, three hundred thirty-three thousand, three hundred".