132016313 has 16 divisors (see below), whose sum is σ = 163262400. Its totient is φ = 104950080.

The previous prime is 132016307. The next prime is 132016319. The reversal of 132016313 is 313610231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132016307) and next prime (132016319).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-132016313 is a prime.

It is a super-2 number, since 2×132016313² = 34856613796227938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132016319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21578 + ... + 27011.

It is an arithmetic number, because the mean of its divisors is an integer number (10203900).

Almost surely, 2^132016313 is an apocalyptic number.

132016313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132016313 is a deficient number, since it is larger than the sum of its proper divisors (31246087).

132016313 is a wasteful number, since it uses less digits than its factorization.

132016313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48632.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 132016313 is about 11489.8352033439. The cubic root of 132016313 is about 509.1853108440.

Adding to 132016313 its reverse (313610231), we get a palindrome (445626544).

The spelling of 132016313 in words is "one hundred thirty-two million, sixteen thousand, three hundred thirteen".