211313013200 has 30 divisors (see below), whose sum is σ = 507679515174. Its totient is φ = 84525205120.

The previous prime is 211313013187. The next prime is 211313013209. The reversal of 211313013200 is 2310313112.

It can be written as a sum of positive squares in 3 ways, for example, as 19812251536 + 191500761664 = 140756^2 + 437608^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211313013209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 264140867 + ... + 264141666.

Almost surely, 2^211313013200 is an apocalyptic number.

211313013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211313013200 is an abundant number, since it is smaller than the sum of its proper divisors (296366501974).

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

211313013200 is a wasteful number, since it uses less digits than its factorization.

211313013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528282551 (or 528282540 counting only the distinct ones).

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

Adding to 211313013200 its reverse (2310313112), we get a palindrome (213623326312).

The spelling of 211313013200 in words is "two hundred eleven billion, three hundred thirteen million, thirteen thousand, two hundred".