102132313 has 2 divisors, whose sum is σ = 102132314. Its totient is φ = 102132312.

The previous prime is 102132307. The next prime is 102132337. The reversal of 102132313 is 313231201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54287424 + 47844889 = 7368^2 + 6917^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102132313 is a prime.

It is not a weakly prime, because it can be changed into another prime (102132343) 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 as a sum of consecutive naturals, namely, 51066156 + 51066157.

It is an arithmetic number, because the mean of its divisors is an integer number (51066157).

Almost surely, 2^102132313 is an apocalyptic number.

It is an amenable number.

102132313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102132313 is an equidigital number, since it uses as much as digits as its factorization.

102132313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 102132313 is about 10106.0532850366. The cubic root of 102132313 is about 467.4348148984.

Adding to 102132313 its reverse (313231201), we get a palindrome (415363514).

The spelling of 102132313 in words is "one hundred two million, one hundred thirty-two thousand, three hundred thirteen".