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1311006113 is a prime number
BaseRepresentation
bin100111000100100…
…0101110110100001
310101100220000021222
41032021011312201
510141104143423
6334031224425
744326240154
oct11611056641
93340800258
101311006113
1161303532a
12307078115
1317b7bc781
14c6187c9b
157a1663c8
hex4e245da1

1311006113 has 2 divisors, whose sum is σ = 1311006114. Its totient is φ = 1311006112.

The previous prime is 1311006107. The next prime is 1311006127. The reversal of 1311006113 is 3116001131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 797893009 + 513113104 = 28247^2 + 22652^2 .

It is a cyclic number.

It is not a de Polignac number, because 1311006113 - 210 = 1311005089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1311006091 and 1311006100.

It is not a weakly prime, because it can be changed into another prime (1311006133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655503056 + 655503057.

It is an arithmetic number, because the mean of its divisors is an integer number (655503057).

Almost surely, 21311006113 is an apocalyptic number.

It is an amenable number.

1311006113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311006113 is an equidigital number, since it uses as much as digits as its factorization.

1311006113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 1311006113 is about 36207.8183960315. The cubic root of 1311006113 is about 1094.4642300192.

Adding to 1311006113 its reverse (3116001131), we get a palindrome (4427007244).

The spelling of 1311006113 in words is "one billion, three hundred eleven million, six thousand, one hundred thirteen".