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3133310113 is a prime number
BaseRepresentation
bin1011101011000010…
…1000010010100001
322002100212122102201
42322300220102201
522404111410423
61234525413201
7140434460623
oct27260502241
98070778381
103133310113
11136874329a
1273540a201
133ac1bb86b
1421a1c8c13
151351282ad
hexbac284a1

3133310113 has 2 divisors, whose sum is σ = 3133310114. Its totient is φ = 3133310112.

The previous prime is 3133310107. The next prime is 3133310119. The reversal of 3133310113 is 3110133313.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (3133310107) and next prime (3133310119).

It can be written as a sum of positive squares in only one way, i.e., 2996139169 + 137170944 = 54737^2 + 11712^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3133310113 is a prime.

It is not a weakly prime, because it can be changed into another prime (3133310119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1566655056 + 1566655057.

It is an arithmetic number, because the mean of its divisors is an integer number (1566655057).

Almost surely, 23133310113 is an apocalyptic number.

It is an amenable number.

3133310113 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133310113 is an equidigital number, since it uses as much as digits as its factorization.

3133310113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

The square root of 3133310113 is about 55975.9779994955. The cubic root of 3133310113 is about 1463.3036643453.

Adding to 3133310113 its reverse (3110133313), we get a palindrome (6243443426).

It can be divided in two parts, 3 and 133310113, that added together give a square (133310116 = 115462).

The spelling of 3133310113 in words is "three billion, one hundred thirty-three million, three hundred ten thousand, one hundred thirteen".