211132313210320 has 40 divisors (see below), whose sum is σ = 491064504458400. Its totient is φ = 84421634747520.

The previous prime is 211132313210303. The next prime is 211132313210321. The reversal of 211132313210320 is 23012313231112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211132313210321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 488697366 + ... + 489129205.

It is an arithmetic number, because the mean of its divisors is an integer number (12276612611460).

Almost surely, 2^{211132313210320} is an apocalyptic number.

211132313210320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211132313210320 is an abundant number, since it is smaller than the sum of its proper divisors (279932191248080).

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

211132313210320 is a wasteful number, since it uses less digits than its factorization.

211132313210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977829283 (or 977829277 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 211132313210320 its reverse (23012313231112), we get a palindrome (234144626441432).

The spelling of 211132313210320 in words is "two hundred eleven trillion, one hundred thirty-two billion, three hundred thirteen million, two hundred ten thousand, three hundred twenty".