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131310013 = 237277853
BaseRepresentation
bin1111101001110…
…10000110111101
3100011002020110211
413310322012331
5232103410023
621010232421
73153055012
oct764720675
9304066424
10131310013
116813717a
1237b85711
1321286b43
1413621709
15b7dba0d
hex7d3a1bd

131310013 has 8 divisors (see below), whose sum is σ = 137225088. Its totient is φ = 125412144.

The previous prime is 131309993. The next prime is 131310043. The reversal of 131310013 is 310013131.

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 131310013 - 221 = 129212861 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131309975 and 131310002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131310043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12795 + ... + 20647.

It is an arithmetic number, because the mean of its divisors is an integer number (17153136).

Almost surely, 2131310013 is an apocalyptic number.

It is an amenable number.

131310013 is a deficient number, since it is larger than the sum of its proper divisors (5915075).

131310013 is an equidigital number, since it uses as much as digits as its factorization.

131310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8603.

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

The square root of 131310013 is about 11459.0581201074. The cubic root of 131310013 is about 508.2756231060.

Adding to 131310013 its reverse (310013131), we get a palindrome (441323144).

The spelling of 131310013 in words is "one hundred thirty-one million, three hundred ten thousand, thirteen".

Divisors: 1 23 727 7853 16721 180619 5709131 131310013