102132113 has 8 divisors (see below), whose sum is σ = 107649000. Its totient is φ = 96748288.

The previous prime is 102132101. The next prime is 102132119. The reversal of 102132113 is 311231201.

It can be written as a sum of positive squares in 4 ways, for example, as 56055169 + 46076944 = 7487^2 + 6788^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102132113 - 2⁴ = 102132097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102132119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31688 + ... + 34761.

It is an arithmetic number, because the mean of its divisors is an integer number (13456125).

Almost surely, 2^102132113 is an apocalyptic number.

It is an amenable number.

102132113 is a deficient number, since it is larger than the sum of its proper divisors (5516887).

102132113 is an equidigital number, since it uses as much as digits as its factorization.

102132113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66531.

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

The square root of 102132113 is about 10106.0433899722. The cubic root of 102132113 is about 467.4345097810.

Adding to 102132113 its reverse (311231201), we get a palindrome (413363314).

The spelling of 102132113 in words is "one hundred two million, one hundred thirty-two thousand, one hundred thirteen".