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131506013 is a prime number
BaseRepresentation
bin1111101011010…
…01111101011101
3100011110012100002
413311221331131
5232131143023
621014344045
73154532312
oct765517535
9304405302
10131506013
1168260461
123805b025
1321325112
1413672d09
15b829b28
hex7d69f5d

131506013 has 2 divisors, whose sum is σ = 131506014. Its totient is φ = 131506012.

The previous prime is 131505991. The next prime is 131506021. The reversal of 131506013 is 310605131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131492089 + 13924 = 11467^2 + 118^2 .

It is an emirp because it is prime and its reverse (310605131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131506013 - 28 = 131505757 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131506043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65753006 + 65753007.

It is an arithmetic number, because the mean of its divisors is an integer number (65753007).

Almost surely, 2131506013 is an apocalyptic number.

It is an amenable number.

131506013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131506013 is an equidigital number, since it uses as much as digits as its factorization.

131506013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 131506013 is about 11467.6071174417. The cubic root of 131506013 is about 508.5283900605.

The spelling of 131506013 in words is "one hundred thirty-one million, five hundred six thousand, thirteen".