211300010320 has 80 divisors (see below), whose sum is σ = 561726190080. Its totient is φ = 72410637312.

The previous prime is 211300010309. The next prime is 211300010329. The reversal of 211300010320 is 23010003112.

211300010320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×211300010320² (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 211300010320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211300010329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1079529 + ... + 1260151.

It is an arithmetic number, because the mean of its divisors is an integer number (7021577376).

Almost surely, 2^211300010320 is an apocalyptic number.

211300010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211300010320 is an abundant number, since it is smaller than the sum of its proper divisors (350426179760).

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

211300010320 is a wasteful number, since it uses less digits than its factorization.

211300010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182732 (or 182726 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 211300010320 its reverse (23010003112), we get a palindrome (234310013432).

The spelling of 211300010320 in words is "two hundred eleven billion, three hundred million, ten thousand, three hundred twenty".