213313122 has 64 divisors (see below), whose sum is σ = 518958720. Its totient is φ = 64411200.

The previous prime is 213313099. The next prime is 213313123. The reversal of 213313122 is 221313312.

213313122 is a `hidden beast` number, since 21 + 331 + 312 + 2 = 666.

It is a super-3 number, since 3×213313122³ (a number of 26 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213313095 and 213313104.

It is not an unprimeable number, because it can be changed into a prime (213313123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249648 + ... + 250500.

It is an arithmetic number, because the mean of its divisors is an integer number (8108730).

Almost surely, 2^213313122 is an apocalyptic number.

213313122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213313122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259479360).

213313122 is an abundant number, since it is smaller than the sum of its proper divisors (305645598).

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

213313122 is a wasteful number, since it uses less digits than its factorization.

213313122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1290 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 213313122 is about 14605.2429627172. The cubic root of 213313122 is about 597.5017624523.

Adding to 213313122 its reverse (221313312), we get a palindrome (434626434).

The spelling of 213313122 in words is "two hundred thirteen million, three hundred thirteen thousand, one hundred twenty-two".