213120032 has 48 divisors (see below), whose sum is σ = 430284960. Its totient is φ = 103876608.

The previous prime is 213120029. The next prime is 213120107. The reversal of 213120032 is 230021312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213119989 and 213120016.

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 7 ways as a sum of consecutive naturals, for example, 228944 + ... + 229872.

It is an arithmetic number, because the mean of its divisors is an integer number (8964270).

Almost surely, 2^213120032 is an apocalyptic number.

It is an amenable number.

213120032 is an abundant number, since it is smaller than the sum of its proper divisors (217164928).

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

213120032 is a wasteful number, since it uses less digits than its factorization.

213120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 213120032 is about 14598.6311687089. The cubic root of 213120032 is about 597.3214227979.

Adding to 213120032 its reverse (230021312), we get a palindrome (443141344).

The spelling of 213120032 in words is "two hundred thirteen million, one hundred twenty thousand, thirty-two".