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1130131313 is a prime number
BaseRepresentation
bin100001101011100…
…0110111101110001
32220202112121201022
41003113012331301
54303303200223
6304050345225
740001646323
oct10327067561
92822477638
101130131313
1152aa25423
1227658b215
131501a066c
14aa143613
1569338ac8
hex435c6f71

1130131313 has 2 divisors, whose sum is σ = 1130131314. Its totient is φ = 1130131312.

The previous prime is 1130131307. The next prime is 1130131361. The reversal of 1130131313 is 3131310311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 879003904 + 251127409 = 29648^2 + 15847^2 .

It is an emirp because it is prime and its reverse (3131310311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1130131313 - 212 = 1130127217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1130131291 and 1130131300.

It is not a weakly prime, because it can be changed into another prime (1130136313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 565065656 + 565065657.

It is an arithmetic number, because the mean of its divisors is an integer number (565065657).

Almost surely, 21130131313 is an apocalyptic number.

It is an amenable number.

1130131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1130131313 is an equidigital number, since it uses as much as digits as its factorization.

1130131313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 1130131313 is about 33617.4257342825. The cubic root of 1130131313 is about 1041.6207817769.

Adding to 1130131313 its reverse (3131310311), we get a palindrome (4261441624).

The spelling of 1130131313 in words is "one billion, one hundred thirty million, one hundred thirty-one thousand, three hundred thirteen".