213113120 has 96 divisors (see below), whose sum is σ = 578249280. Its totient is φ = 73405440.

The previous prime is 213113111. The next prime is 213113137. The reversal of 213113120 is 21311312.

213113120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213113120² = 90834403832268800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213113095 and 213113104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30254 + ... + 36626.

It is an arithmetic number, because the mean of its divisors is an integer number (6023430).

Almost surely, 2^213113120 is an apocalyptic number.

213113120 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 213113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289124640).

213113120 is an abundant number, since it is smaller than the sum of its proper divisors (365136160).

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

213113120 is a wasteful number, since it uses less digits than its factorization.

213113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6418 (or 6410 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 213113120 is about 14598.3944322655. The cubic root of 213113120 is about 597.3149652001.

Adding to 213113120 its reverse (21311312), we get a palindrome (234424432).

It can be divided in two parts, 2131 and 13120, that added together give a palindrome (15251).

The spelling of 213113120 in words is "two hundred thirteen million, one hundred thirteen thousand, one hundred twenty".