213132024 has 48 divisors (see below), whose sum is σ = 659695920. Its totient is φ = 60894720.

The previous prime is 213132001. The next prime is 213132047. The reversal of 213132024 is 420231312.

It is an interprime number because it is at equal distance from previous prime (213132001) and next prime (213132047).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213131988 and 213132006.

It is a congruent number.

It is an unprimeable number.

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, 210937 + ... + 211944.

It is an arithmetic number, because the mean of its divisors is an integer number (13743665).

Almost surely, 2^213132024 is an apocalyptic number.

213132024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213132024 is an abundant number, since it is smaller than the sum of its proper divisors (446563896).

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

213132024 is a wasteful number, since it uses less digits than its factorization.

213132024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422900 (or 422893 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 213132024 is about 14599.0418863705. The cubic root of 213132024 is about 597.3326260997.

Adding to 213132024 its reverse (420231312), we get a palindrome (633363336).

The spelling of 213132024 in words is "two hundred thirteen million, one hundred thirty-two thousand, twenty-four".