130801 has 12 divisors (see below), whose sum is σ = 153216. Its totient is φ = 111320.

The previous prime is 130787. The next prime is 130807. The reversal of 130801 is 108031.

130801 = 104² + 105² + ... + 114².

130801 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 130801 - 2⁵ = 130769 is a prime.

It is a Duffinian number.

130801 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130807) 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 in 11 ways as a sum of consecutive naturals, for example, 2760 + ... + 2806.

It is an arithmetic number, because the mean of its divisors is an integer number (12768).

2¹³⁰⁸⁰¹ is an apocalyptic number.

130801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130801 is a deficient number, since it is larger than the sum of its proper divisors (22415).

130801 is a wasteful number, since it uses less digits than its factorization.

130801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 130801 is about 361.6642089010. The cubic root of 130801 is about 50.7618009070.

Adding to 130801 its reverse (108031), we get a palindrome (238832).

The spelling of 130801 in words is "one hundred thirty thousand, eight hundred one".