211312021300 has 36 divisors (see below), whose sum is σ = 485520448140. Its totient is φ = 79552760320.

The previous prime is 211312021253. The next prime is 211312021309. The reversal of 211312021300 is 3120213112.

211312021300 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 6 ways, for example, as 2291153956 + 209020867344 = 47866^2 + 457188^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211312021309) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 62148895 + ... + 62152294.

It is an arithmetic number, because the mean of its divisors is an integer number (13486679115).

Almost surely, 2^211312021300 is an apocalyptic number.

211312021300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211312021300 is an abundant number, since it is smaller than the sum of its proper divisors (274208426840).

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

211312021300 is a wasteful number, since it uses less digits than its factorization.

211312021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124301220 (or 124301213 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 211312021300 its reverse (3120213112), we get a palindrome (214432234412).

The spelling of 211312021300 in words is "two hundred eleven billion, three hundred twelve million, twenty-one thousand, three hundred".