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13130131 = 710318211
BaseRepresentation
bin110010000101…
…100110010011
3220201002011011
4302011212103
511330131011
61145231351
7216414160
oct62054623
926632134
1013130131
117458953
124492557
132949511
141a5b067
151245621
hexc85993

13130131 has 8 divisors (see below), whose sum is σ = 15152384. Its totient is φ = 11144520.

The previous prime is 13130129. The next prime is 13130141. The reversal of 13130131 is 13103131.

It is a happy number.

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 13130131 - 21 = 13130129 is a prime.

It is a super-2 number, since 2×131301312 = 344800680154322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13130141) 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, 8385 + ... + 9826.

It is an arithmetic number, because the mean of its divisors is an integer number (1894048).

Almost surely, 213130131 is an apocalyptic number.

13130131 is a deficient number, since it is larger than the sum of its proper divisors (2022253).

13130131 is a wasteful number, since it uses less digits than its factorization.

13130131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18321.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 13130131 is about 3623.5522626285. The cubic root of 13130131 is about 235.9154334084.

Adding to 13130131 its reverse (13103131), we get a palindrome (26233262).

Subtracting from 13130131 its reverse (13103131), we obtain a cube (27000 = 303).

The spelling of 13130131 in words is "thirteen million, one hundred thirty thousand, one hundred thirty-one".

Divisors: 1 7 103 721 18211 127477 1875733 13130131