213110322120 has 144 divisors (see below), whose sum is σ = 715672636380. Its totient is φ = 54996122880.

The previous prime is 213110322119. The next prime is 213110322121. The reversal of 213110322120 is 21223011312.

213110322120 is a `hidden beast` number, since 21 + 311 + 0 + 322 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (213110322119) and next prime (213110322121).

It can be written as a sum of positive squares in 2 ways, for example, as 210895866756 + 2214455364 = 459234^2 + 47058^2 .

It is a super-2 number, since 2×213110322120² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 213110322093 and 213110322102.

It is not an unprimeable number, because it can be changed into a prime (213110322121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37962 + ... + 653958.

Almost surely, 2^213110322120 is an apocalyptic number.

213110322120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213110322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357836318190).

213110322120 is an abundant number, since it is smaller than the sum of its proper divisors (502562314260).

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

213110322120 is a wasteful number, since it uses less digits than its factorization.

213110322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616076 (or 616038 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213110322120 its reverse (21223011312), we get a palindrome (234333333432).

The spelling of 213110322120 in words is "two hundred thirteen billion, one hundred ten million, three hundred twenty-two thousand, one hundred twenty".