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3133313101 is a prime number
BaseRepresentation
bin1011101011000010…
…1001000001001101
322002100212210112101
42322300221001031
522404112004401
61234525435101
7140434502422
oct27260510115
98070783471
103133313101
111368745566
1273540ba91
133ac1c0029
1421a1c9d49
15135129101
hexbac2904d

3133313101 has 2 divisors, whose sum is σ = 3133313102. Its totient is φ = 3133313100.

The previous prime is 3133313087. The next prime is 3133313107. The reversal of 3133313101 is 1013133313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2912760900 + 220552201 = 53970^2 + 14851^2 .

It is an emirp because it is prime and its reverse (1013133313) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3133313101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3133313107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1566656550 + 1566656551.

It is an arithmetic number, because the mean of its divisors is an integer number (1566656551).

Almost surely, 23133313101 is an apocalyptic number.

It is an amenable number.

3133313101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133313101 is an equidigital number, since it uses as much as digits as its factorization.

3133313101 is an evil number, because the sum of its binary digits is even.

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

The square root of 3133313101 is about 55976.0046895096. The cubic root of 3133313101 is about 1463.3041294924.

Adding to 3133313101 its reverse (1013133313), we get a palindrome (4146446414).

It can be divided in two parts, 3133313 and 101, that multiplied together give a palindrome (316464613).

The spelling of 3133313101 in words is "three billion, one hundred thirty-three million, three hundred thirteen thousand, one hundred one".