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131310113 = 1130793877
BaseRepresentation
bin1111101001110…
…10001000100001
3100011002020121112
413310322020201
5232103410423
621010233105
73153055214
oct764721041
9304066545
10131310113
1168137260
1237b85795
1321286bbc
141362177b
15b7dba78
hex7d3a221

131310113 has 8 divisors (see below), whose sum is σ = 143330880. Its totient is φ = 119303280.

The previous prime is 131310107. The next prime is 131310119. The reversal of 131310113 is 311013131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131310107) and next prime (131310119).

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 131310113 - 222 = 127115809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131310119) 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 7 ways as a sum of consecutive naturals, for example, 31931 + ... + 35807.

It is an arithmetic number, because the mean of its divisors is an integer number (17916360).

Almost surely, 2131310113 is an apocalyptic number.

It is an amenable number.

131310113 is a deficient number, since it is larger than the sum of its proper divisors (12020767).

131310113 is a wasteful number, since it uses less digits than its factorization.

131310113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6967.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 131310113 is about 11459.0624834670. The cubic root of 131310113 is about 508.2757521328.

Adding to 131310113 its reverse (311013131), we get a palindrome (442323244).

The spelling of 131310113 in words is "one hundred thirty-one million, three hundred ten thousand, one hundred thirteen".

Divisors: 1 11 3079 3877 33869 42647 11937283 131310113