213333120 has 768 divisors, whose sum is σ = 1015822080. Its totient is φ = 39813120.

The previous prime is 213332993. The next prime is 213333143. The reversal of 213333120 is 21333312.

213333120 is a `hidden beast` number, since 21 + 333 + 312 + 0 = 666.

It is a super-2 number, since 2×213333120² = 91022040177868800, which 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 = 213333093 and 213333102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5765742 + ... + 5765778.

It is an arithmetic number, because the mean of its divisors is an integer number (1322685).

Almost surely, 2^213333120 is an apocalyptic number.

213333120 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 213333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507911040).

213333120 is an abundant number, since it is smaller than the sum of its proper divisors (802488960).

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

213333120 is a wasteful number, since it uses less digits than its factorization.

213333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 213333120 is about 14605.9275638352. The cubic root of 213333120 is about 597.5204337007.

Adding to 213333120 its reverse (21333312), we get a palindrome (234666432).

It can be divided in two parts, 2133 and 33120, that added together give a palindrome (35253).

The spelling of 213333120 in words is "two hundred thirteen million, three hundred thirty-three thousand, one hundred twenty".