213231000 has 256 divisors, whose sum is σ = 729855360. Its totient is φ = 51609600.

The previous prime is 213230987. The next prime is 213231013. The reversal of 213231000 is 132312.

It is a happy number.

213231000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213230987) and next prime (213231013).

It is a super-2 number, since 2×213231000² = 90934918722000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1886944 + ... + 1887056.

Almost surely, 2^213231000 is an apocalyptic number.

213231000 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 213231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364927680).

213231000 is an abundant number, since it is smaller than the sum of its proper divisors (516624360).

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

213231000 is a wasteful number, since it uses less digits than its factorization.

213231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 213231000 is about 14602.4313044096. The cubic root of 213231000 is about 597.4250765341.

Adding to 213231000 its reverse (132312), we get a palindrome (213363312).

The spelling of 213231000 in words is "two hundred thirteen million, two hundred thirty-one thousand".