213387120 has 120 divisors (see below), whose sum is σ = 723465600. Its totient is φ = 56360448.

The previous prime is 213387091. The next prime is 213387121. The reversal of 213387120 is 21783312.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213387121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77121 + ... + 79839.

It is an arithmetic number, because the mean of its divisors is an integer number (6028880).

Almost surely, 2^213387120 is an apocalyptic number.

213387120 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 213387120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361732800).

213387120 is an abundant number, since it is smaller than the sum of its proper divisors (510078480).

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

213387120 is a wasteful number, since it uses less digits than its factorization.

213387120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 213387120 is about 14607.7760114262. The cubic root of 213387120 is about 597.5708452844.

It can be divided in two parts, 2133 and 87120, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 213387120 in words is "two hundred thirteen million, three hundred eighty-seven thousand, one hundred twenty".