213141400 has 48 divisors (see below), whose sum is σ = 497122200. Its totient is φ = 84986880.

The previous prime is 213141389. The next prime is 213141407. The reversal of 213141400 is 4141312.

213141400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213141407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69091 + ... + 72109.

Almost surely, 2^213141400 is an apocalyptic number.

213141400 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 213141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248561100).

213141400 is an abundant number, since it is smaller than the sum of its proper divisors (283980800).

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

213141400 is a wasteful number, since it uses less digits than its factorization.

213141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 213141400 is about 14599.3629998024. The cubic root of 213141400 is about 597.3413851598.

Adding to 213141400 its reverse (4141312), we get a palindrome (217282712).

The spelling of 213141400 in words is "two hundred thirteen million, one hundred forty-one thousand, four hundred".