213404312 has 48 divisors (see below), whose sum is σ = 441693000. Its totient is φ = 96588800.

The previous prime is 213404311. The next prime is 213404353.

213404312 is nontrivially palindromic in base 10.

213404312 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 (213404311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 434387 + ... + 434877.

Almost surely, 2^213404312 is an apocalyptic number.

213404312 is a gapful number since it is divisible by the number (22) 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 213404312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220846500).

213404312 is an abundant number, since it is smaller than the sum of its proper divisors (228288688).

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

213404312 is a wasteful number, since it uses less digits than its factorization.

213404312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 213404312 is about 14608.3644532850. The cubic root of 213404312 is about 597.5868930542.

It can be divided in two parts, 21340 and 4312, that added together give a palindrome (25652).

The spelling of 213404312 in words is "two hundred thirteen million, four hundred four thousand, three hundred twelve".