211013200000 has 96 divisors (see below), whose sum is σ = 525439690020. Its totient is φ = 84405120000.

The previous prime is 211013199979. The next prime is 211013200039. The reversal of 211013200000 is 2310112.

It can be written as a sum of positive squares in 6 ways, for example, as 34337572416 + 176675627584 = 185304^2 + 420328^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 211013200000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136234 + ... + 663766.

Almost surely, 2^211013200000 is an apocalyptic number.

211013200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211013200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262719845010).

211013200000 is an abundant number, since it is smaller than the sum of its proper divisors (314426490020).

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

211013200000 is an frugal number, since it uses more digits than its factorization.

211013200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527572 (or 527540 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 211013200000 its reverse (2310112), we get a palindrome (211015510112).

The spelling of 211013200000 in words is "two hundred eleven billion, thirteen million, two hundred thousand".