211332113000 has 64 divisors (see below), whose sum is σ = 494592106320. Its totient is φ = 84520032000.

The previous prime is 211332112963. The next prime is 211332113017. The reversal of 211332113000 is 311233112.

It can be written as a sum of positive squares in 8 ways, for example, as 20892389764 + 190439723236 = 144542^2 + 436394^2 .

It is a super-2 number, since 2×211332113000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211332113000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9281630 + ... + 9304370.

Almost surely, 2^211332113000 is an apocalyptic number.

211332113000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211332113000 is an abundant number, since it is smaller than the sum of its proper divisors (283259993320).

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

211332113000 is a wasteful number, since it uses less digits than its factorization.

211332113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32055 (or 32041 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 211332113000 its reverse (311233112), we get a palindrome (211643346112).

The spelling of 211332113000 in words is "two hundred eleven billion, three hundred thirty-two million, one hundred thirteen thousand".