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131530301993 is a prime number
BaseRepresentation
bin111101001111111010…
…0010010001000101001
3110120111120110122022102
41322133310102020221
54123333224130433
6140231342503145
712334305056126
oct1723764221051
9416446418272
10131530301993
1150866476722
12215a9294ab5
13c531c4637c
14651a81974d
15364c3964e8
hex1e9fd12229

131530301993 has 2 divisors, whose sum is σ = 131530301994. Its totient is φ = 131530301992.

The previous prime is 131530301971. The next prime is 131530302031. The reversal of 131530301993 is 399103035131.

It is a happy number.

It is an a-pointer prime, because the next prime (131530302031) can be obtained adding 131530301993 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113193892249 + 18336409744 = 336443^2 + 135412^2 .

It is an emirp because it is prime and its reverse (399103035131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131530301993 - 28 = 131530301737 is a prime.

It is not a weakly prime, because it can be changed into another prime (131530301393) 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, 65765150996 + 65765150997.

It is an arithmetic number, because the mean of its divisors is an integer number (65765150997).

Almost surely, 2131530301993 is an apocalyptic number.

It is an amenable number.

131530301993 is a deficient number, since it is larger than the sum of its proper divisors (1).

131530301993 is an equidigital number, since it uses as much as digits as its factorization.

131530301993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32805, while the sum is 38.

The spelling of 131530301993 in words is "one hundred thirty-one billion, five hundred thirty million, three hundred one thousand, nine hundred ninety-three".