102130213113 has 18 divisors (see below), whose sum is σ = 149756153274. Its totient is φ = 67070561184.

The previous prime is 102130213103. The next prime is 102130213139. The reversal of 102130213113 is 311312031201.

It can be written as a sum of positive squares in only one way, i.e., 79525692009 + 22604521104 = 282003^2 + 150348^2 .

It is not a de Polignac number, because 102130213113 - 2⁸ = 102130212857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102130213103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1223556 + ... + 1304357.

It is an arithmetic number, because the mean of its divisors is an integer number (8319786293).

Almost surely, 2^102130213113 is an apocalyptic number.

It is an amenable number.

102130213113 is a deficient number, since it is larger than the sum of its proper divisors (47625940161).

102130213113 is an equidigital number, since it uses as much as digits as its factorization.

102130213113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528053 (or 2527983 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102130213113 its reverse (311312031201), we get a palindrome (413442244314).

The spelling of 102130213113 in words is "one hundred two billion, one hundred thirty million, two hundred thirteen thousand, one hundred thirteen".