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1131101113 is a prime number
BaseRepresentation
bin100001101101011…
…0011101110111001
32220211100220000211
41003122303232321
54304030213423
6304123231121
740013125612
oct10332635671
92824326024
101131101113
1153052800a
122769784a1
1315044cbcc
14aa316c09
156947b10d
hex436b3bb9

1131101113 has 2 divisors, whose sum is σ = 1131101114. Its totient is φ = 1131101112.

The previous prime is 1131101093. The next prime is 1131101117. The reversal of 1131101113 is 3111011311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 585785209 + 545315904 = 24203^2 + 23352^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1131101113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1131101093 and 1131101102.

It is not a weakly prime, because it can be changed into another prime (1131101117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 565550556 + 565550557.

It is an arithmetic number, because the mean of its divisors is an integer number (565550557).

Almost surely, 21131101113 is an apocalyptic number.

It is an amenable number.

1131101113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1131101113 is an equidigital number, since it uses as much as digits as its factorization.

1131101113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 13.

The square root of 1131101113 is about 33631.8467081426. The cubic root of 1131101113 is about 1041.9186453996.

Adding to 1131101113 its reverse (3111011311), we get a palindrome (4242112424).

The spelling of 1131101113 in words is "one billion, one hundred thirty-one million, one hundred one thousand, one hundred thirteen".