132213016 has 64 divisors (see below), whose sum is σ = 287723520. Its totient is φ = 56453760.

The previous prime is 132213007. The next prime is 132213031. The reversal of 132213016 is 610312231.

It is a super-3 number, since 3×132213016³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132212984 and 132213002.

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 15 ways as a sum of consecutive naturals, for example, 73261 + ... + 75043.

It is an arithmetic number, because the mean of its divisors is an integer number (4495680).

Almost surely, 2^132213016 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 132213016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143861760).

132213016 is an abundant number, since it is smaller than the sum of its proper divisors (155510504).

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

132213016 is a wasteful number, since it uses less digits than its factorization.

132213016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 132213016 is about 11498.3918875641. The cubic root of 132213016 is about 509.4380790363.

Adding to 132213016 its reverse (610312231), we get a palindrome (742525247).

The spelling of 132213016 in words is "one hundred thirty-two million, two hundred thirteen thousand, sixteen".