213314140 has 96 divisors (see below), whose sum is σ = 525672000. Its totient is φ = 71995392.

The previous prime is 213314119. The next prime is 213314183. The reversal of 213314140 is 41413312.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142516 + ... + 144004.

It is an arithmetic number, because the mean of its divisors is an integer number (5475750).

Almost surely, 2^213314140 is an apocalyptic number.

213314140 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 213314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262836000).

213314140 is an abundant number, since it is smaller than the sum of its proper divisors (312357860).

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

213314140 is a wasteful number, since it uses less digits than its factorization.

213314140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 213314140 is about 14605.2778131742. The cubic root of 213314140 is about 597.5027129421.

Adding to 213314140 its reverse (41413312), we get a palindrome (254727452).

The spelling of 213314140 in words is "two hundred thirteen million, three hundred fourteen thousand, one hundred forty".