211313303010 has 288 divisors, whose sum is σ = 606004701120. Its totient is φ = 52969769856.

The previous prime is 211313302979. The next prime is 211313303011. The reversal of 211313303010 is 10303313112.

It is a happy number.

211313303010 is a `hidden beast` number, since 2 + 1 + 1 + 31 + 330 + 301 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211313303011) 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 143 ways as a sum of consecutive naturals, for example, 121934104 + ... + 121935836.

It is an arithmetic number, because the mean of its divisors is an integer number (2104182990).

Almost surely, 2^211313303010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211313303010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303002350560).

211313303010 is an abundant number, since it is smaller than the sum of its proper divisors (394691398110).

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

211313303010 is a wasteful number, since it uses less digits than its factorization.

211313303010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 211313303010 its reverse (10303313112), we get a palindrome (221616616122).

The spelling of 211313303010 in words is "two hundred eleven billion, three hundred thirteen million, three hundred three thousand, ten".