11313213210 has 144 divisors (see below), whose sum is σ = 33725408184. Its totient is φ = 2620919808.

The previous prime is 11313213173. The next prime is 11313213211. The reversal of 11313213210 is 1231231311.

11313213210 is a `hidden beast` number, since 1 + 131 + 321 + 3 + 210 = 666.

11313213210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 45603009 + 11267610201 = 6753^2 + 106149^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11313213211) 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 71 ways as a sum of consecutive naturals, for example, 236694 + ... + 280446.

Almost surely, 2^11313213210 is an apocalyptic number.

11313213210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11313213210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16862704092).

11313213210 is an abundant number, since it is smaller than the sum of its proper divisors (22412194974).

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

11313213210 is a wasteful number, since it uses less digits than its factorization.

11313213210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43809 (or 43793 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11313213210 its reverse (1231231311), we get a palindrome (12544444521).

The spelling of 11313213210 in words is "eleven billion, three hundred thirteen million, two hundred thirteen thousand, two hundred ten".