213114000 has 160 divisors (see below), whose sum is σ = 749773440. Its totient is φ = 51648000.

The previous prime is 213113993. The next prime is 213114059. The reversal of 213114000 is 411312.

It is a happy number.

213114000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 64386 + ... + 67614.

It is an arithmetic number, because the mean of its divisors is an integer number (4686084).

Almost surely, 2^213114000 is an apocalyptic number.

213114000 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 213114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374886720).

213114000 is an abundant number, since it is smaller than the sum of its proper divisors (536659440).

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

213114000 is a wasteful number, since it uses less digits than its factorization.

213114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 213114000 is about 14598.4245725352. The cubic root of 213114000 is about 597.3157873558.

Adding to 213114000 its reverse (411312), we get a palindrome (213525312).

The spelling of 213114000 in words is "two hundred thirteen million, one hundred fourteen thousand".