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131315013 = 35540391
BaseRepresentation
bin1111101001110…
…11010101000101
3100011002111100000
413310323111011
5232104040023
621010311513
73153105414
oct764732505
9304074300
10131315013
116813aa05
1237b88599
13212891bb
141362347b
15b7dd243
hex7d3b545

131315013 has 12 divisors (see below), whose sum is σ = 196702688. Its totient is φ = 87543180.

The previous prime is 131315003. The next prime is 131315029. The reversal of 131315013 is 310513131.

131315013 is a `hidden beast` number, since 131 + 31 + 501 + 3 = 666.

It is not a de Polignac number, because 131315013 - 29 = 131314501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131315003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269953 + ... + 270438.

Almost surely, 2131315013 is an apocalyptic number.

It is an amenable number.

131315013 is a deficient number, since it is larger than the sum of its proper divisors (65387675).

131315013 is an frugal number, since it uses more digits than its factorization.

131315013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540406 (or 540394 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 131315013 is about 11459.2762860488. The cubic root of 131315013 is about 508.2820743679.

Adding to 131315013 its reverse (310513131), we get a palindrome (441828144).

The spelling of 131315013 in words is "one hundred thirty-one million, three hundred fifteen thousand, thirteen".

Divisors: 1 3 9 27 81 243 540391 1621173 4863519 14590557 43771671 131315013