130193 has 6 divisors (see below), whose sum is σ = 151506. Its totient is φ = 111552.

The previous prime is 130183. The next prime is 130199. The reversal of 130193 is 391031.

It can be written as a sum of positive squares in only one way, i.e., 117649 + 12544 = 343^2 + 112^2 .

It is not a de Polignac number, because 130193 - 2⁸ = 129937 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 (130199) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1280 + ... + 1377.

It is an arithmetic number, because the mean of its divisors is an integer number (25251).

2¹³⁰¹⁹³ is an apocalyptic number.

It is an amenable number.

130193 is a deficient number, since it is larger than the sum of its proper divisors (21313).

130193 is an equidigital number, since it uses as much as digits as its factorization.

130193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 130193 is about 360.8226711281. The cubic root of 130193 is about 50.6830269958.

It can be divided in two parts, 130 and 193, that added together give a palindrome (323).

The spelling of 130193 in words is "one hundred thirty thousand, one hundred ninety-three".