102132131 has 4 divisors (see below), whose sum is σ = 102152712. Its totient is φ = 102111552.

The previous prime is 102132119. The next prime is 102132157. The reversal of 102132131 is 131231201.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 102132131 - 2²⁶ = 35023267 is a prime.

It is a super-3 number, since 3×102132131³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102132101) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2240 + ... + 14466.

It is an arithmetic number, because the mean of its divisors is an integer number (25538178).

Almost surely, 2^102132131 is an apocalyptic number.

102132131 is a deficient number, since it is larger than the sum of its proper divisors (20581).

102132131 is an equidigital number, since it uses as much as digits as its factorization.

102132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20580.

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

The square root of 102132131 is about 10106.0442805284. The cubic root of 102132131 is about 467.4345372416.

Adding to 102132131 its reverse (131231201), we get a palindrome (233363332).

The spelling of 102132131 in words is "one hundred two million, one hundred thirty-two thousand, one hundred thirty-one".