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131130013 = 741456899
BaseRepresentation
bin1111101000011…
…10001010011101
3100010202002120011
413310032022131
5232032130023
621002323221
73151405150
oct764161235
9303662504
10131130013
1168023a13
1237ab9511
1321222c31
14135b5c97
15b7a350d
hex7d0e29d

131130013 has 8 divisors (see below), whose sum is σ = 153518400. Its totient is φ = 109655520.

The previous prime is 131130007. The next prime is 131130023. The reversal of 131130013 is 310031131.

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 131130013 - 25 = 131129981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131129975 and 131130002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131130023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228163 + ... + 228736.

It is an arithmetic number, because the mean of its divisors is an integer number (19189800).

Almost surely, 2131130013 is an apocalyptic number.

It is an amenable number.

131130013 is a deficient number, since it is larger than the sum of its proper divisors (22388387).

131130013 is an equidigital number, since it uses as much as digits as its factorization.

131130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456947.

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

The square root of 131130013 is about 11451.2013780214. The cubic root of 131130013 is about 508.0432685261.

Adding to 131130013 its reverse (310031131), we get a palindrome (441161144).

The spelling of 131130013 in words is "one hundred thirty-one million, one hundred thirty thousand, thirteen".

Divisors: 1 7 41 287 456899 3198293 18732859 131130013