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1331103113 is a prime number
BaseRepresentation
bin100111101010111…
…0000010110001001
310102202201001012022
41033111300112021
510211230244423
6340030054225
744662122044
oct11725602611
93382631168
101331103113
1162341151a
1231194a375
13182a080a2
14c8ad9c5b
157bcd5dc8
hex4f570589

1331103113 has 2 divisors, whose sum is σ = 1331103114. Its totient is φ = 1331103112.

The previous prime is 1331103107. The next prime is 1331103119. The reversal of 1331103113 is 3113011331.

It is a balanced prime because it is at equal distance from previous prime (1331103107) and next prime (1331103119).

It can be written as a sum of positive squares in only one way, i.e., 1139197504 + 191905609 = 33752^2 + 13853^2 .

It is an emirp because it is prime and its reverse (3113011331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1331103113 - 210 = 1331102089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1331103091 and 1331103100.

It is not a weakly prime, because it can be changed into another prime (1331103119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665551556 + 665551557.

It is an arithmetic number, because the mean of its divisors is an integer number (665551557).

Almost surely, 21331103113 is an apocalyptic number.

It is an amenable number.

1331103113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331103113 is an equidigital number, since it uses as much as digits as its factorization.

1331103113 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 1331103113 is about 36484.2858365077. The cubic root of 1331103113 is about 1100.0284050516.

Adding to 1331103113 its reverse (3113011331), we get a palindrome (4444114444).

The spelling of 1331103113 in words is "one billion, three hundred thirty-one million, one hundred three thousand, one hundred thirteen".