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131003013133 is a prime number
BaseRepresentation
bin111101000000001100…
…0110101100000001101
3110112010211021120222101
41322000120311200031
54121243232410013
6140103145115101
712315243144616
oct1720030654015
9415124246871
10131003013133
1150615870803
1221480788a91
13c479928325
1464aa79cc0d
15361ae3c8dd
hex1e8063580d

131003013133 has 2 divisors, whose sum is σ = 131003013134. Its totient is φ = 131003013132.

The previous prime is 131003013109. The next prime is 131003013233. The reversal of 131003013133 is 331310300131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91544368969 + 39458644164 = 302563^2 + 198642^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131003013133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131003013133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131003013233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65501506566 + 65501506567.

It is an arithmetic number, because the mean of its divisors is an integer number (65501506567).

Almost surely, 2131003013133 is an apocalyptic number.

It is an amenable number.

131003013133 is a deficient number, since it is larger than the sum of its proper divisors (1).

131003013133 is an equidigital number, since it uses as much as digits as its factorization.

131003013133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 131003013133 its reverse (331310300131), we get a palindrome (462313313264).

The spelling of 131003013133 in words is "one hundred thirty-one billion, three million, thirteen thousand, one hundred thirty-three".