102130313 has 8 divisors (see below), whose sum is σ = 102837000. Its totient is φ = 101426688.

The previous prime is 102130309. The next prime is 102130333. The reversal of 102130313 is 313031201.

It can be written as a sum of positive squares in 4 ways, for example, as 23931664 + 78198649 = 4892^2 + 8843^2 .

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 102130313 - 2² = 102130309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102130333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122783 + ... + 123611.

It is an arithmetic number, because the mean of its divisors is an integer number (12854625).

Almost surely, 2^102130313 is an apocalyptic number.

It is an amenable number.

102130313 is a deficient number, since it is larger than the sum of its proper divisors (706687).

102130313 is an equidigital number, since it uses as much as digits as its factorization.

102130313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 102130313 is about 10105.9543339558. The cubic root of 102130313 is about 467.4317637069.

Adding to 102130313 its reverse (313031201), we get a palindrome (415161514).

The spelling of 102130313 in words is "one hundred two million, one hundred thirty thousand, three hundred thirteen".