132102113 has 24 divisors (see below), whose sum is σ = 157770984. Its totient is φ = 109866240.

The previous prime is 132102109. The next prime is 132102127. The reversal of 132102113 is 311201231.

It can be written as a sum of positive squares in 4 ways, for example, as 1982464 + 130119649 = 1408^2 + 11407^2 .

It is not a de Polignac number, because 132102113 - 2² = 132102109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132102013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215195 + ... + 215807.

It is an arithmetic number, because the mean of its divisors is an integer number (6573791).

Almost surely, 2^132102113 is an apocalyptic number.

132102113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132102113 is a deficient number, since it is larger than the sum of its proper divisors (25668871).

132102113 is a wasteful number, since it uses less digits than its factorization.

132102113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 132102113 is about 11493.5683318976. The cubic root of 132102113 is about 509.2955968066.

Adding to 132102113 its reverse (311201231), we get a palindrome (443303344).

The spelling of 132102113 in words is "one hundred thirty-two million, one hundred two thousand, one hundred thirteen".