213311120 has 40 divisors (see below), whose sum is σ = 541036800. Its totient is φ = 77567360.

The previous prime is 213311113. The next prime is 213311143. The reversal of 213311120 is 21113312.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 213311095 and 213311104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120320 + ... + 122079.

It is an arithmetic number, because the mean of its divisors is an integer number (13525920).

Almost surely, 2^213311120 is an apocalyptic number.

213311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213311120 is an abundant number, since it is smaller than the sum of its proper divisors (327725680).

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

213311120 is a wasteful number, since it uses less digits than its factorization.

213311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242423 (or 242417 counting only the distinct ones).

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

The square root of 213311120 is about 14605.1744255247. The cubic root of 213311120 is about 597.4998932091.

Adding to 213311120 its reverse (21113312), we get a palindrome (234424432).

The spelling of 213311120 in words is "two hundred thirteen million, three hundred eleven thousand, one hundred twenty".