213331404 has 144 divisors (see below), whose sum is σ = 600614784. Its totient is φ = 58406400.

The previous prime is 213331399. The next prime is 213331409. The reversal of 213331404 is 404133312.

It is an interprime number because it is at equal distance from previous prime (213331399) and next prime (213331409).

It is a super-2 number, since 2×213331404² = 91020575865222432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213331409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1628419 + ... + 1628549.

It is an arithmetic number, because the mean of its divisors is an integer number (4170936).

Almost surely, 2^213331404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213331404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300307392).

213331404 is an abundant number, since it is smaller than the sum of its proper divisors (387283380).

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

213331404 is a wasteful number, since it uses less digits than its factorization.

213331404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 213331404 is about 14605.8688204434. The cubic root of 213331404 is about 597.5188315931.

Adding to 213331404 its reverse (404133312), we get a palindrome (617464716).

The spelling of 213331404 in words is "two hundred thirteen million, three hundred thirty-one thousand, four hundred four".